Search a number
-
+
337380316 = 2271329311031
BaseRepresentation
bin10100000111000…
…000001111011100
3212111211200210021
4110013000033130
51142332132231
653251121524
711234454040
oct2407001734
9774750707
10337380316
11163495909
1294ba32a4
1354b88130
1432b44020
151e944811
hex141c03dc

337380316 has 96 divisors (see below), whose sum is σ = 776724480. Its totient is φ = 124588800.

The previous prime is 337380313. The next prime is 337380341. The reversal of 337380316 is 613083733.

It is a super-2 number, since 2×3373803162 = 227650955248519712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (337380313) 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, 326721 + ... + 327751.

It is an arithmetic number, because the mean of its divisors is an integer number (8090880).

Almost surely, 2337380316 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 337380316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388362240).

337380316 is an abundant number, since it is smaller than the sum of its proper divisors (439344164).

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

337380316 is a wasteful number, since it uses less digits than its factorization.

337380316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 337380316 is about 18367.9153961466. The cubic root of 337380316 is about 696.1560154719.

The spelling of 337380316 in words is "three hundred thirty-seven million, three hundred eighty thousand, three hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 29 31 52 58 62 91 116 124 182 203 217 364 377 403 406 434 754 806 812 868 899 1031 1508 1612 1798 2062 2639 2821 3596 4124 5278 5642 6293 7217 10556 11284 11687 12586 13403 14434 23374 25172 26806 28868 29899 31961 46748 53612 59798 63922 81809 93821 119596 127844 163618 187642 209293 223727 327236 375284 388687 415493 418586 447454 777374 830986 837172 894908 926869 1554748 1661972 1853738 2720809 2908451 3707476 5441618 5816902 6488083 10883236 11633804 12049297 12976166 24098594 25952332 48197188 84345079 168690158 337380316