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3431441040 = 2435194791571
BaseRepresentation
bin1100110010000111…
…1010001010010000
322212010212021011220
43030201322022100
524011422103130
61324255405040
7151014524166
oct31441721220
98763767156
103431441040
111500a60495
127b9223780
13428bb39b1
14247a33236
151513b8410
hexcc87a290

3431441040 has 160 divisors (see below), whose sum is σ = 11227852800. Its totient is φ = 864529920.

The previous prime is 3431441023. The next prime is 3431441051. The reversal of 3431441040 is 401441343.

It is a super-2 number, since 2×34314410402 = 23549575221992563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3431441040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2183455 + ... + 2185025.

It is an arithmetic number, because the mean of its divisors is an integer number (70174080).

Almost surely, 23431441040 is an apocalyptic number.

3431441040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613926400).

3431441040 is an abundant number, since it is smaller than the sum of its proper divisors (7796411760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3431441040 is a wasteful number, since it uses less digits than its factorization.

3431441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3431441040 is about 58578.5032243058. The cubic root of 3431441040 is about 1508.3154525384.

Adding to 3431441040 its reverse (401441343), we get a palindrome (3832882383).

The spelling of 3431441040 in words is "three billion, four hundred thirty-one million, four hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 479 570 760 912 958 1140 1437 1520 1571 1916 2280 2395 2874 3142 3832 4560 4713 4790 5748 6284 7185 7664 7855 9101 9426 9580 11496 12568 14370 15710 18202 18852 19160 22992 23565 25136 27303 28740 29849 31420 36404 37704 38320 45505 47130 54606 57480 59698 62840 72808 75408 89547 91010 94260 109212 114960 119396 125680 136515 145616 149245 179094 182020 188520 218424 238792 273030 298490 358188 364040 377040 436848 447735 477584 546060 596980 716376 728080 752509 895470 1092120 1193960 1432752 1505018 1790940 2184240 2257527 2387920 3010036 3581880 3762545 4515054 6020072 7163760 7525090 9030108 11287635 12040144 14297671 15050180 18060216 22575270 28595342 30100360 36120432 42893013 45150540 57190684 60200720 71488355 85786026 90301080 114381368 142976710 171572052 180602160 214465065 228762736 285953420 343144104 428930130 571906840 686288208 857860260 1143813680 1715720520 3431441040