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390909696 = 2831779379
BaseRepresentation
bin10111010011001…
…100111100000000
31000020120021021220
4113103030330000
51300033102241
6102442315040
712454451262
oct2723147400
91006507256
10390909696
11190727271
12aaab8a80
1362caab18
1439cb9b32
15244ba166
hex174ccf00

390909696 has 144 divisors (see below), whose sum is σ = 1118476800. Its totient is φ = 120766464.

The previous prime is 390909653. The next prime is 390909731. The reversal of 390909696 is 696909093.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1031235 + ... + 1031613.

It is an arithmetic number, because the mean of its divisors is an integer number (7767200).

Almost surely, 2390909696 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 390909696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559238400).

390909696 is an abundant number, since it is smaller than the sum of its proper divisors (727567104).

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

390909696 is a wasteful number, since it uses less digits than its factorization.

390909696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 708588, while the sum is 51.

The square root of 390909696 is about 19771.4363666376. The cubic root of 390909696 is about 731.1819820729.

The spelling of 390909696 in words is "three hundred ninety million, nine hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 79 96 102 128 136 158 192 204 237 256 272 316 379 384 408 474 544 632 758 768 816 948 1088 1137 1264 1343 1516 1632 1896 2176 2274 2528 2686 3032 3264 3792 4029 4352 4548 5056 5372 6064 6443 6528 7584 8058 9096 10112 10744 12128 12886 13056 15168 16116 18192 19329 20224 21488 24256 25772 29941 30336 32232 36384 38658 42976 48512 51544 59882 60672 64464 72768 77316 85952 89823 97024 103088 119764 128928 145536 154632 171904 179646 206176 239528 257856 291072 309264 343808 359292 412352 479056 508997 515712 618528 718584 824704 958112 1017994 1031424 1237056 1437168 1526991 1649408 1916224 2035988 2474112 2874336 3053982 3832448 4071976 4948224 5748672 6107964 7664896 8143952 11497344 12215928 16287904 22994688 24431856 32575808 48863712 65151616 97727424 130303232 195454848 390909696