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323139072 = 293792663
BaseRepresentation
bin10011010000101…
…011011000000000
3211112001011110210
4103100223120000
51130210422242
652021554120
711002431264
oct2320533000
9745034423
10323139072
11156449193
1290275940
1351c3cc69
1430cb80a4
151d57ed9c
hex1342b600

323139072 has 80 divisors (see below), whose sum is σ = 872087040. Its totient is φ = 106309632.

The previous prime is 323139067. The next prime is 323139101. The reversal of 323139072 is 270931323.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120013 + ... + 122675.

It is an arithmetic number, because the mean of its divisors is an integer number (10901088).

Almost surely, 2323139072 is an apocalyptic number.

323139072 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 323139072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436043520).

323139072 is an abundant number, since it is smaller than the sum of its proper divisors (548947968).

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

323139072 is an equidigital number, since it uses as much as digits as its factorization.

323139072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 323139072 is about 17976.0694257671. The cubic root of 323139072 is about 686.2196623627.

The spelling of 323139072 in words is "three hundred twenty-three million, one hundred thirty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 512 632 768 948 1264 1536 1896 2528 2663 3792 5056 5326 7584 7989 10112 10652 15168 15978 20224 21304 30336 31956 40448 42608 60672 63912 85216 121344 127824 170432 210377 255648 340864 420754 511296 631131 681728 841508 1022592 1262262 1363456 1683016 2045184 2524524 3366032 4090368 5049048 6732064 10098096 13464128 20196192 26928256 40392384 53856512 80784768 107713024 161569536 323139072