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313814172 = 223743283307
BaseRepresentation
bin10010101101000…
…110110010011100
3210212111102010010
4102231012302130
51120314023142
651050043220
710530243060
oct2255066234
9725442103
10313814172
1115115a261
1289119510
1350026779
142d96baa0
151c83be9c
hex12b46c9c

313814172 has 96 divisors (see below), whose sum is σ = 862124032. Its totient is φ = 86982336.

The previous prime is 313814167. The next prime is 313814173. The reversal of 313814172 is 271418313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313814173) 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, 1022043 + ... + 1022349.

Almost surely, 2313814172 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 313814172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431062016).

313814172 is an abundant number, since it is smaller than the sum of its proper divisors (548309860).

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

313814172 is a wasteful number, since it uses less digits than its factorization.

313814172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 645 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 313814172 is about 17714.8009302955. The cubic root of 313814172 is about 679.5543302340.

It can be divided in two parts, 31381 and 4172, that added together give a palindrome (35553).

The spelling of 313814172 in words is "three hundred thirteen million, eight hundred fourteen thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 283 301 307 516 566 602 614 849 903 921 1132 1204 1228 1698 1806 1842 1981 2149 3396 3612 3684 3962 4298 5943 6447 7924 8596 11886 12169 12894 13201 23772 24338 25788 26402 36507 39603 48676 52804 73014 79206 85183 86881 92407 146028 158412 170366 173762 184814 255549 260643 277221 340732 347524 369628 511098 521286 554442 608167 1022196 1042572 1108884 1216334 1824501 2432668 3649002 3735883 7298004 7471766 11207649 14943532 22415298 26151181 44830596 52302362 78453543 104604724 156907086 313814172