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323407252 = 227217312101
BaseRepresentation
bin10011010001101…
…100110110010100
3211112112210100101
4103101230312110
51130243013002
652031423444
711004626200
oct2321546624
9745483311
10323407252
11156611723
1290384b84
135200504c
1430d47b00
151d5d4587
hex1346cd94

323407252 has 108 divisors (see below), whose sum is σ = 727436052. Its totient is φ = 124992000.

The previous prime is 323407241. The next prime is 323407289. The reversal of 323407252 is 252704323.

It can be written as a sum of positive squares in 2 ways, for example, as 286489476 + 36917776 = 16926^2 + 6076^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 323407252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3202002 + ... + 3202102.

It is an arithmetic number, because the mean of its divisors is an integer number (6735519).

Almost surely, 2323407252 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 323407252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363718026).

323407252 is an abundant number, since it is smaller than the sum of its proper divisors (404028800).

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

323407252 is a wasteful number, since it uses less digits than its factorization.

323407252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 323407252 is about 17983.5272402274. The cubic root of 323407252 is about 686.4094459762.

The spelling of 323407252 in words is "three hundred twenty-three million, four hundred seven thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 17 28 31 34 49 62 68 98 101 119 124 196 202 217 238 404 434 476 527 707 833 868 961 1054 1414 1519 1666 1717 1922 2108 2828 3038 3131 3332 3434 3689 3844 4949 6076 6262 6727 6868 7378 9898 12019 12524 13454 14756 16337 19796 21917 24038 25823 26908 32674 43834 47089 48076 51646 53227 65348 84133 87668 94178 97061 103292 106454 114359 153419 168266 188356 194122 212908 228718 306838 336532 372589 388244 457436 613676 679427 745178 800513 1358854 1490356 1601026 1650037 2608123 2717708 3202052 3300074 4755989 5216246 6600148 9511978 10432492 11550259 19023956 23100518 46201036 80851813 161703626 323407252