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3812306344 = 2371123118149
BaseRepresentation
bin1110001100111011…
…0010110110101000
3100211200112020011021
43203032302312220
530301422300334
61430142542224
7163321032520
oct34316626650
910750466137
103812306344
111686a47200
128a4897974
13489a85992
14282456680
15174a4c3b4
hexe33b2da8

3812306344 has 96 divisors (see below), whose sum is σ = 9269568000. Its totient is φ = 1437321600.

The previous prime is 3812306257. The next prime is 3812306363. The reversal of 3812306344 is 4436032183.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 200982 + ... + 219130.

It is an arithmetic number, because the mean of its divisors is an integer number (96558000).

Almost surely, 23812306344 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 3812306344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4634784000).

3812306344 is an abundant number, since it is smaller than the sum of its proper divisors (5457261656).

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

3812306344 is a wasteful number, since it uses less digits than its factorization.

3812306344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18215 (or 18200 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 3812306344 is about 61743.8769757779. The cubic root of 3812306344 is about 1562.1734912765.

The spelling of 3812306344 in words is "three billion, eight hundred twelve million, three hundred six thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 121 124 154 217 242 248 308 341 434 484 616 682 847 868 968 1364 1694 1736 2387 2728 3388 3751 4774 6776 7502 9548 15004 18149 19096 26257 30008 36298 52514 72596 105028 127043 145192 199639 210056 254086 399278 508172 562619 798556 1016344 1125238 1397473 1597112 2196029 2250476 2794946 3938333 4392058 4500952 5589892 6188809 7876666 8784116 11179784 12377618 15372203 15753332 17568232 24755236 30744406 31506664 43321663 49510472 61488812 68076899 86643326 122977624 136153798 173286652 272307596 346573304 476538293 544615192 953076586 1906153172 3812306344