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3811343432 = 23132232732
BaseRepresentation
bin1110001100101100…
…0111110001001000
3100211121201022021212
43203023013301020
530301200442212
61430110152252
7163306612301
oct34313076110
910747638255
103811343432
111686449806
128a44b2688
13489809600
142822857a8
1517490be22
hexe32c7c48

3811343432 has 108 divisors (see below), whose sum is σ = 8201672955. Its totient is φ = 1659550464.

The previous prime is 3811343413. The next prime is 3811343479. The reversal of 3811343432 is 2343431183.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 759222916 + 3052120516 = 27554^2 + 55246^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=43654.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52210148 + ... + 52210220.

Almost surely, 23811343432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3811343432

3811343432 is an abundant number, since it is smaller than the sum of its proper divisors (4390329523).

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

3811343432 is a wasteful number, since it uses less digits than its factorization.

3811343432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 111 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 3811343432 is about 61736.0788518351. The cubic root of 3811343432 is about 1562.0419556539.

Multiplying 3811343432 by its sum of digits (32), we get a square (121962989824 = 3492322).

The spelling of 3811343432 in words is "three billion, eight hundred eleven million, three hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 23 26 46 52 73 92 104 146 169 184 292 299 338 529 584 598 676 949 1058 1196 1352 1679 1898 2116 2392 3358 3796 3887 4232 5329 6716 6877 7592 7774 10658 12337 13432 13754 15548 21316 21827 24674 27508 31096 38617 42632 43654 49348 55016 69277 77234 87308 89401 98696 122567 138554 154468 174616 178802 245134 277108 283751 308936 357604 490268 502021 554216 567502 715208 900601 980536 1004042 1135004 1593371 1801202 2008084 2270008 2819041 3186742 3602404 4016168 5638082 6373484 6526273 7204808 11276164 12746968 13052546 20713823 22552328 26105092 36647533 41427646 52210184 73295066 82855292 146590132 165710584 293180264 476417929 952835858 1905671716 3811343432