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390543696 = 243229412281
BaseRepresentation
bin10111010001110…
…011100101010000
31000012212200020100
4113101303211100
51244434344241
6102430412400
712451365234
oct2721634520
91005780210
10390543696
111904a7294
12aa961100
1362bb035a
1439c225c4
15244469b6
hex17473950

390543696 has 120 divisors (see below), whose sum is σ = 1158753960. Its totient is φ = 122572800.

The previous prime is 390543653. The next prime is 390543719. The reversal of 390543696 is 696345093.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11696400 + 378847296 = 3420^2 + 19464^2 .

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170076 + ... + 172356.

It is an arithmetic number, because the mean of its divisors is an integer number (9656283).

Almost surely, 2390543696 is an apocalyptic number.

390543696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390543696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579376980).

390543696 is an abundant number, since it is smaller than the sum of its proper divisors (768210264).

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

390543696 is a wasteful number, since it uses less digits than its factorization.

390543696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 390543696 is about 19762.1784224311. The cubic root of 390543696 is about 730.9537143753.

The spelling of 390543696 in words is "three hundred ninety million, five hundred forty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 41 48 58 72 82 87 116 123 144 164 174 232 246 261 328 348 369 464 492 522 656 696 738 984 1044 1189 1392 1476 1968 2088 2281 2378 2952 3567 4176 4562 4756 5904 6843 7134 9124 9512 10701 13686 14268 18248 19024 20529 21402 27372 28536 36496 41058 42804 54744 57072 66149 82116 85608 93521 109488 132298 164232 171216 187042 198447 264596 280563 328464 374084 396894 529192 561126 595341 748168 793788 841689 1058384 1122252 1190682 1496336 1587576 1683378 2244504 2381364 2712109 3175152 3366756 4489008 4762728 5424218 6733512 8136327 9525456 10848436 13467024 16272654 21696872 24408981 32545308 43393744 48817962 65090616 97635924 130181232 195271848 390543696