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313974330 = 235193211257
BaseRepresentation
bin10010101101101…
…101111000111010
3210212210112210220
4102231231320322
51120334134310
651053320510
710531511025
oct2255557072
9725715726
10313974330
1115125961a
1289196136
1350081637
142d9b01bc
151c86e670
hex12b6de3a

313974330 has 64 divisors (see below), whose sum is σ = 763993728. Its totient is φ = 82575360.

The previous prime is 313974319. The next prime is 313974337. The reversal of 313974330 is 33479313.

It is a junction number, because it is equal to n+sod(n) for n = 313974291 and 313974300.

It is not an unprimeable number, because it can be changed into a prime (313974337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1221562 + ... + 1221818.

It is an arithmetic number, because the mean of its divisors is an integer number (11937402).

Almost surely, 2313974330 is an apocalyptic number.

313974330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

313974330 is an abundant number, since it is smaller than the sum of its proper divisors (450019398).

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

313974330 is a wasteful number, since it uses less digits than its factorization.

313974330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671.

The product of its (nonzero) digits is 20412, while the sum is 33.

The square root of 313974330 is about 17719.3208109115. The cubic root of 313974330 is about 679.6699162104.

The spelling of 313974330 in words is "three hundred thirteen million, nine hundred seventy-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 193 211 257 386 422 514 579 633 771 965 1055 1158 1266 1285 1542 1930 2110 2570 2895 3165 3855 5790 6330 7710 40723 49601 54227 81446 99202 108454 122169 148803 162681 203615 244338 248005 271135 297606 325362 407230 496010 542270 610845 744015 813405 1221690 1488030 1626810 10465811 20931622 31397433 52329055 62794866 104658110 156987165 313974330