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364897316 = 227217971129
BaseRepresentation
bin10101101111111…
…110010000100100
3221102121201000102
4111233332100210
51221403203231
6100113003232
712020401400
oct2557762044
9842551012
10364897316
11177a7a833
12a2253518
135a7a0b94
1436668100
152207cacb
hex15bfe424

364897316 has 72 divisors (see below), whose sum is σ = 795334680. Its totient is φ = 145539072.

The previous prime is 364897307. The next prime is 364897381. The reversal of 364897316 is 613798463.

It is a happy number.

364897316 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25969216 + 338928100 = 5096^2 + 18410^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322640 + ... + 323768.

It is an arithmetic number, because the mean of its divisors is an integer number (11046315).

Almost surely, 2364897316 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 364897316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397667340).

364897316 is an abundant number, since it is smaller than the sum of its proper divisors (430437364).

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

364897316 is a wasteful number, since it uses less digits than its factorization.

364897316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1252 counting only the distinct ones).

The product of its digits is 653184, while the sum is 47.

The square root of 364897316 is about 19102.2856224066. The cubic root of 364897316 is about 714.5899263957.

The spelling of 364897316 in words is "three hundred sixty-four million, eight hundred ninety-seven thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 49 68 97 98 119 194 196 238 388 476 679 833 1129 1358 1649 1666 2258 2716 3298 3332 4516 4753 6596 7903 9506 11543 15806 19012 19193 23086 31612 38386 46172 55321 76772 80801 109513 110642 134351 161602 219026 221284 268702 323204 438052 537404 766591 940457 1533182 1861721 1880914 3066364 3723442 3761828 5366137 7446884 10732274 13032047 21464548 26064094 52128188 91224329 182448658 364897316