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313169430 = 23574379439
BaseRepresentation
bin10010101010101…
…001011000010110
3210211021122200210
4102222221120112
51120132410210
651024150250
710521616260
oct2252513026
9724248623
10313169430
11150859912
1288a68386
134cb5c172
142d840b30
151c760e20
hex12aa9616

313169430 has 128 divisors (see below), whose sum is σ = 892108800. Its totient is φ = 68874624.

The previous prime is 313169407. The next prime is 313169431. The reversal of 313169430 is 34961313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313169431) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 713151 + ... + 713589.

It is an arithmetic number, because the mean of its divisors is an integer number (6969600).

Almost surely, 2313169430 is an apocalyptic number.

313169430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313169430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446054400).

313169430 is an abundant number, since it is smaller than the sum of its proper divisors (578939370).

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

313169430 is a wasteful number, since it uses less digits than its factorization.

313169430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578.

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 313169430 is about 17696.5937400394. The cubic root of 313169430 is about 679.0886219093.

The spelling of 313169430 in words is "three hundred thirteen million, one hundred sixty-nine thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 79 86 105 129 158 210 215 237 258 301 395 430 439 474 553 602 645 790 878 903 1106 1185 1290 1317 1505 1659 1806 2195 2370 2634 2765 3010 3073 3318 3397 4390 4515 5530 6146 6585 6794 8295 9030 9219 10191 13170 15365 16590 16985 18438 18877 20382 23779 30730 33970 34681 37754 46095 47558 50955 56631 69362 71337 92190 94385 101910 104043 113262 118895 132139 142674 173405 188770 208086 237790 242767 264278 283155 346810 356685 396417 485534 520215 566310 660695 713370 728301 792834 1040430 1213835 1321390 1456602 1491283 1982085 2427670 2982566 3641505 3964170 4473849 7283010 7456415 8947698 10438981 14912830 20877962 22369245 31316943 44738490 52194905 62633886 104389810 156584715 313169430