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323115940 = 2257171271069
BaseRepresentation
bin10011010000100…
…101101110100100
3211111222222202001
4103100211232210
51130204202230
652021255044
711002303660
oct2320455644
9744888661
10323115940
11156432874
1290264484
1351c32584
1430cad8a0
151d5780ca
hex13425ba4

323115940 has 96 divisors (see below), whose sum is σ = 828334080. Its totient is φ = 103348224.

The previous prime is 323115917. The next prime is 323115953. The reversal of 323115940 is 49511323.

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

It is a junction number, because it is equal to n+sod(n) for n = 323115899 and 323115908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301726 + ... + 302794.

It is an arithmetic number, because the mean of its divisors is an integer number (8628480).

Almost surely, 2323115940 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 323115940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414167040).

323115940 is an abundant number, since it is smaller than the sum of its proper divisors (505218140).

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

323115940 is a wasteful number, since it uses less digits than its factorization.

323115940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 323115940 is about 17975.4260032968. The cubic root of 323115940 is about 686.2032875637.

The spelling of 323115940 in words is "three hundred twenty-three million, one hundred fifteen thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 127 140 170 238 254 340 476 508 595 635 889 1069 1190 1270 1778 2138 2159 2380 2540 3556 4276 4318 4445 5345 7483 8636 8890 10690 10795 14966 15113 17780 18173 21380 21590 29932 30226 36346 37415 43180 60452 72692 74830 75565 90865 127211 135763 149660 151130 181730 254422 271526 302260 363460 508844 543052 636055 678815 950341 1272110 1357630 1900682 2307971 2544220 2715260 3801364 4615942 4751705 9231884 9503410 11539855 16155797 19006820 23079710 32311594 46159420 64623188 80778985 161557970 323115940