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3952045344 = 2531323313591
BaseRepresentation
bin1110101110001111…
…0110110100100000
3101012102110201000210
43223203312310200
531043210422334
61452054014120
7166635555042
oct35343666440
911172421023
103952045344
111748910185
12923647340
134aca01290
14296c2da92
15181e515e9
hexeb8f6d20

3952045344 has 96 divisors (see below), whose sum is σ = 11220902784. Its totient is φ = 1210705920.

The previous prime is 3952045343. The next prime is 3952045387. The reversal of 3952045344 is 4435402593.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3952045343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283989 + ... + 297579.

It is an arithmetic number, because the mean of its divisors is an integer number (116884404).

Almost surely, 23952045344 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 3952045344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5610451392).

3952045344 is an abundant number, since it is smaller than the sum of its proper divisors (7268857440).

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

3952045344 is a wasteful number, since it uses less digits than its factorization.

3952045344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13850 (or 13842 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The square root of 3952045344 is about 62865.2952271760. The cubic root of 3952045344 is about 1581.0319253615.

The spelling of 3952045344 in words is "three billion, nine hundred fifty-two million, forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 233 312 416 466 624 699 932 1248 1398 1864 2796 3029 3728 5592 6058 7456 9087 11184 12116 13591 18174 22368 24232 27182 36348 40773 48464 54364 72696 81546 96928 108728 145392 163092 176683 217456 290784 326184 353366 434912 530049 652368 706732 1060098 1304736 1413464 2120196 2826928 3166703 4240392 5653856 6333406 8480784 9500109 12666812 16961568 19000218 25333624 38000436 41167139 50667248 76000872 82334278 101334496 123501417 152001744 164668556 247002834 304003488 329337112 494005668 658674224 988011336 1317348448 1976022672 3952045344