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239103396324 = 223213262692
BaseRepresentation
bin1101111010101110101…
…1000100100111100100
3211212011112020000222100
43132223223010213210
512404140432140244
6301501555332100
723163130222632
oct3365353044744
9755145200870
10239103396324
11924486a7671
123a40b2b1030
13197166c6c00
14b803578352
1563463a0b69
hex37abac49e4

239103396324 has 81 divisors (see below), whose sum is σ = 654573326043. Its totient is φ = 73558540224.

The previous prime is 239103396317. The next prime is 239103396331. The reversal of 239103396324 is 423693301932.

The square root of 239103396324 is 488982.

It is a perfect power (a square), and thus also a powerful number.

239103396324 is a `hidden beast` number, since 2 + 3 + 9 + 1 + 0 + 3 + 3 + 9 + 632 + 4 = 666.

239103396324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (239103396317) and next prime (239103396331).

It can be written as a sum of positive squares in 4 ways, for example, as 71305020900 + 167798375424 = 267030^2 + 409632^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 239103396324.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38137462 + ... + 38143730.

Almost surely, 2239103396324 is an apocalyptic number.

239103396324 is the 488982-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239103396324

239103396324 is an abundant number, since it is smaller than the sum of its proper divisors (415469929719).

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

239103396324 is an equidigital number, since it uses as much as digits as its factorization.

239103396324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12574 (or 6287 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 239103396324 in words is "two hundred thirty-nine billion, one hundred three million, three hundred ninety-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 6269 12538 18807 25076 37614 56421 75228 81497 112842 162994 225684 244491 325988 488982 733473 977964 1059461 1466946 2118922 2933892 3178383 4237844 6356766 9535149 12713532 19070298 38140596 39300361 78600722 117901083 157201444 235802166 353703249 471604332 510904693 707406498 1021809386 1414812996 1532714079 2043618772 3065428158 4598142237 6130856316 6641761009 9196284474 13283522018 18392568948 19925283027 26567044036 39850566054 59775849081 79701132108 119551698162 239103396324