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321690072 = 233115383277
BaseRepresentation
bin10011001011001…
…001100111011000
3211102022112211010
4103023021213120
51124323040242
651530533520
710654214634
oct2313114730
9742275733
10321690072
11155649570
128b8972a0
1351853572
1430a1bdc4
151d39589c
hex132c99d8

321690072 has 128 divisors (see below), whose sum is σ = 907925760. Its totient is φ = 94149120.

The previous prime is 321690071. The next prime is 321690073. The reversal of 321690072 is 270096123.

It is an interprime number because it is at equal distance from previous prime (321690071) and next prime (321690073).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321690071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1161198 + ... + 1161474.

It is an arithmetic number, because the mean of its divisors is an integer number (7093170).

Almost surely, 2321690072 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 321690072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453962880).

321690072 is an abundant number, since it is smaller than the sum of its proper divisors (586235688).

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

321690072 is a wasteful number, since it uses less digits than its factorization.

321690072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 321690072 is about 17935.7205598214. The cubic root of 321690072 is about 685.1924243182.

The spelling of 321690072 in words is "three hundred twenty-one million, six hundred ninety thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 83 88 106 132 159 166 212 249 264 277 318 332 424 498 554 583 636 664 831 913 996 1108 1166 1272 1662 1749 1826 1992 2216 2332 2739 3047 3324 3498 3652 4399 4664 5478 6094 6648 6996 7304 8798 9141 10956 12188 13197 13992 14681 17596 18282 21912 22991 24376 26394 29362 35192 36564 44043 45982 48389 52788 58724 68973 73128 88086 91964 96778 105576 117448 137946 145167 161491 176172 183928 193556 252901 275892 290334 322982 352344 387112 484473 505802 551784 580668 645964 758703 968946 1011604 1161336 1218523 1291928 1517406 1937892 2023208 2437046 3034812 3655569 3875784 4874092 6069624 7311138 9748184 13403753 14622276 26807506 29244552 40211259 53615012 80422518 107230024 160845036 321690072