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3431351040 = 28351368737
BaseRepresentation
bin1100110010000110…
…0100001100000000
322212010200200201120
43030201210030000
524011411213130
61324253432240
7151014000615
oct31441441400
98763620646
103431351040
1115009a9907
127b919b680
13428b81a40
14247a0c50c
1515139b910
hexcc864300

3431351040 has 144 divisors (see below), whose sum is σ = 11802039648. Its totient is φ = 844627968.

The previous prime is 3431350991. The next prime is 3431351047. The reversal of 3431351040 is 401531343.

It is a happy number.

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 3431351040.

It is not an unprimeable number, because it can be changed into a prime (3431351047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15552 + ... + 84288.

Almost surely, 23431351040 is an apocalyptic number.

3431351040 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 3431351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5901019824).

3431351040 is an abundant number, since it is smaller than the sum of its proper divisors (8370688608).

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

3431351040 is a wasteful number, since it uses less digits than its factorization.

3431351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68774 (or 68760 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3431351040 is about 58577.7350193740. The cubic root of 3431351040 is about 1508.3022656998.

Adding to 3431351040 its reverse (401531343), we get a palindrome (3832882383).

The spelling of 3431351040 in words is "three billion, four hundred thirty-one million, three hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2496 3120 3328 3840 4160 4992 6240 8320 9984 12480 16640 24960 49920 68737 137474 206211 274948 343685 412422 549896 687370 824844 893581 1031055 1099792 1374740 1649688 1787162 2062110 2199584 2680743 2749480 3299376 3574324 4124220 4399168 4467905 5361486 5498960 6598752 7148648 8248440 8798336 8935810 10722972 10997920 13197504 13403715 14297296 16496880 17596672 17871620 21445944 21995840 26395008 26807430 28594592 32993760 35743240 42891888 43991680 52790016 53614860 57189184 65987520 71486480 85783776 87983360 107229720 114378368 131975040 142972960 171567552 214459440 228756736 263950080 285945920 343135104 428918880 571891840 686270208 857837760 1143783680 1715675520 3431351040