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3804703968 = 2531311092749
BaseRepresentation
bin1110001011000111…
…0010110011100000
3100211011012222122210
43202301302303200
530243001011333
61425312002120
7163166310252
oct34261626340
910734188583
103804703968
11168272444a
128a2230340
13488323530
14281437cd2
15174049a63
hexe2c72ce0

3804703968 has 96 divisors (see below), whose sum is σ = 10769220000. Its totient is φ = 1169197056.

The previous prime is 3804703961. The next prime is 3804704083. The reversal of 3804703968 is 8693074083.

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

It is a super-2 number, since 2×38047039682 = 28951544568229890048, which contains 22 as substring.

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 (3804703961) 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, 1382658 + ... + 1385406.

It is an arithmetic number, because the mean of its divisors is an integer number (112179375).

Almost surely, 23804703968 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 3804703968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5384610000).

3804703968 is an abundant number, since it is smaller than the sum of its proper divisors (6964516032).

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

3804703968 is a wasteful number, since it uses less digits than its factorization.

3804703968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 3804703968 is about 61682.2824480418. The cubic root of 3804703968 is about 1561.1343885795.

The spelling of 3804703968 in words is "three billion, eight hundred four million, seven hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1109 1248 2218 2749 3327 4436 5498 6654 8247 8872 10996 13308 14417 16494 17744 21992 26616 28834 32988 35488 35737 43251 43984 53232 57668 65976 71474 86502 87968 106464 107211 115336 131952 142948 173004 214422 230672 263904 285896 346008 428844 461344 571792 692016 857688 1143584 1384032 1715376 3048641 3430752 6097282 9145923 12194564 18291846 24389128 36583692 39632333 48778256 73167384 79264666 97556512 118896999 146334768 158529332 237793998 292669536 317058664 475587996 634117328 951175992 1268234656 1902351984 3804703968