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3143781984 = 253721739313
BaseRepresentation
bin1011101101100010…
…0100111001100000
322010002120200010210
42323120210321200
522414302010414
61235542054120
7140622464100
oct27330447140
98102520123
103143781984
111373645a32
12738a1a340
133b1417135
1421b753200
15135ee5e59
hexbb624e60

3143781984 has 144 divisors (see below), whose sum is σ = 10164713328. Its totient is φ = 845365248.

The previous prime is 3143781983. The next prime is 3143782021. The reversal of 3143781984 is 4891873413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3143781983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60312 + ... + 99624.

It is an arithmetic number, because the mean of its divisors is an integer number (70588287).

Almost surely, 23143781984 is an apocalyptic number.

3143781984 is a gapful number since it is divisible by the number (34) 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 3143781984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5082356664).

3143781984 is an abundant number, since it is smaller than the sum of its proper divisors (7020931344).

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

3143781984 is a wasteful number, since it uses less digits than its factorization.

3143781984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39357 (or 39342 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 3143781984 is about 56069.4389485038. The cubic root of 3143781984 is about 1464.9320261845.

The spelling of 3143781984 in words is "three billion, one hundred forty-three million, seven hundred eighty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 56 68 84 96 98 102 112 119 136 147 168 196 204 224 238 272 294 336 357 392 408 476 544 588 672 714 784 816 833 952 1176 1428 1568 1632 1666 1904 2352 2499 2856 3332 3808 4704 4998 5712 6664 9996 11424 13328 19992 26656 39313 39984 78626 79968 117939 157252 235878 275191 314504 471756 550382 629008 668321 825573 943512 1100764 1258016 1336642 1651146 1887024 1926337 2004963 2201528 2673284 3302292 3774048 3852674 4009926 4403056 4678247 5346568 5779011 6604584 7705348 8019852 8806112 9356494 10693136 11558022 13209168 14034741 15410696 16039704 18712988 21386272 23116044 26418336 28069482 30821392 32079408 32747729 37425976 46232088 56138964 61642784 64158816 65495458 74851952 92464176 98243187 112277928 130990916 149703904 184928352 196486374 224555856 261981832 392972748 449111712 523963664 785945496 1047927328 1571890992 3143781984