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390071232 = 26324315749
BaseRepresentation
bin10111010000000…
…000001111000000
31000011222200010200
4113100000033000
51244324234412
6102412325200
712444356625
oct2720001700
91004880120
10390071232
11190204321
12aa773800
1362a762a5
1439b3c34c
15243a19dc
hex174003c0

390071232 has 84 divisors (see below), whose sum is σ = 1144143000. Its totient is φ = 126991872.

The previous prime is 390071221. The next prime is 390071267. The reversal of 390071232 is 232170093.

It is a junction number, because it is equal to n+sod(n) for n = 390071196 and 390071205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16894 + ... + 32642.

It is an arithmetic number, because the mean of its divisors is an integer number (13620750).

Almost surely, 2390071232 is an apocalyptic number.

390071232 is a gapful number since it is divisible by the number (32) 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 390071232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572071500).

390071232 is an abundant number, since it is smaller than the sum of its proper divisors (754071768).

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

390071232 is a wasteful number, since it uses less digits than its factorization.

390071232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15810 (or 15797 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 390071232 is about 19750.2210620540. The cubic root of 390071232 is about 730.6588359992.

The spelling of 390071232 in words is "three hundred ninety million, seventy-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 129 144 172 192 258 288 344 387 516 576 688 774 1032 1376 1548 2064 2752 3096 4128 6192 8256 12384 15749 24768 31498 47247 62996 94494 125992 141741 188988 251984 283482 377976 503968 566964 677207 755952 1007936 1133928 1354414 1511904 2031621 2267856 2708828 3023808 4063242 4535712 5417656 6094863 8126484 9071424 10835312 12189726 16252968 21670624 24379452 32505936 43341248 48758904 65011872 97517808 130023744 195035616 390071232