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314730630 = 23351923229
BaseRepresentation
bin10010110000100…
…110100010000110
3210221012222021000
4102300212202012
51121032340010
651121434130
710541111004
oct2260464206
9727188230
10314730630
11151725865
128949b946
1350287956
142db29a74
151c96d7c0
hex12c26886

314730630 has 96 divisors (see below), whose sum is σ = 886053600. Its totient is φ = 79486272.

The previous prime is 314730629. The next prime is 314730641. The reversal of 314730630 is 36037413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 314730594 and 314730603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95856 + ... + 99084.

It is an arithmetic number, because the mean of its divisors is an integer number (9229725).

Almost surely, 2314730630 is an apocalyptic number.

314730630 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 314730630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443026800).

314730630 is an abundant number, since it is smaller than the sum of its proper divisors (571322970).

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

314730630 is a wasteful number, since it uses less digits than its factorization.

314730630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 314730630 is about 17740.6490862088. The cubic root of 314730630 is about 680.2152072586.

The spelling of 314730630 in words is "three hundred fourteen million, seven hundred thirty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 361 513 570 722 855 1026 1083 1710 1805 2166 2565 3229 3249 3610 5130 5415 6458 6498 9687 9747 10830 16145 16245 19374 19494 29061 32290 32490 48435 48735 58122 61351 87183 96870 97470 122702 145305 174366 184053 290610 306755 368106 435915 552159 613510 871830 920265 1104318 1165669 1656477 1840530 2331338 2760795 3312954 3497007 5521590 5828345 6994014 8282385 10491021 11656690 16564770 17485035 20982042 31473063 34970070 52455105 62946126 104910210 157365315 314730630