Search a number
-
+
316629390 = 2357111131213
BaseRepresentation
bin10010110111110…
…110000110001110
3211001210102212110
4102313312012032
51122024120030
651230244450
710563206520
oct2267660616
9731712773
10316629390
11152802390
128a056726
13507a0c8c
14300a1a10
151cbe61b0
hex12df618e

316629390 has 128 divisors (see below), whose sum is σ = 956593152. Its totient is φ = 65157120.

The previous prime is 316629389. The next prime is 316629407. The reversal of 316629390 is 93926613.

It is a super-2 number, since 2×3166293902 = 200508341223544200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 260424 + ... + 261636.

It is an arithmetic number, because the mean of its divisors is an integer number (7473384).

Almost surely, 2316629390 is an apocalyptic number.

316629390 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 316629390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478296576).

316629390 is an abundant number, since it is smaller than the sum of its proper divisors (639963762).

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

316629390 is a wasteful number, since it uses less digits than its factorization.

316629390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354.

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 316629390 is about 17794.0830053139. The cubic root of 316629390 is about 681.5803712539.

The spelling of 316629390 in words is "three hundred sixteen million, six hundred twenty-nine thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 113 154 165 210 226 231 330 339 385 462 565 678 770 791 1130 1155 1213 1243 1582 1695 2310 2373 2426 2486 3390 3639 3729 3955 4746 6065 6215 7278 7458 7910 8491 8701 11865 12130 12430 13343 16982 17402 18195 18645 23730 25473 26103 26686 36390 37290 40029 42455 43505 50946 52206 66715 80058 84910 87010 93401 127365 130515 133430 137069 186802 200145 254730 261030 274138 280203 400290 411207 467005 560406 685345 822414 934010 959483 1370690 1401015 1507759 1918966 2056035 2802030 2878449 3015518 4112070 4523277 4797415 5756898 7538795 9046554 9594830 10554313 14392245 15077590 21108626 22616385 28784490 31662939 45232770 52771565 63325878 105543130 158314695 316629390