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336405316 = 221321773401
BaseRepresentation
bin10100000011010…
…010001101000100
3212110000011100011
4110003102031010
51142104432231
653214200004
711223253342
oct2403221504
9773004304
10336405316
1116298a325
12947b3004
1354906400
143296c992
151e8009b1
hex140d2344

336405316 has 72 divisors (see below), whose sum is σ = 685929384. Its totient is φ = 143769600.

The previous prime is 336405271. The next prime is 336405353. The reversal of 336405316 is 613504633.

It can be written as a sum of positive squares in 12 ways, for example, as 22052416 + 314352900 = 4696^2 + 17730^2 .

It is a super-2 number, since 2×3364053162 = 226337073266119712, which contains 22 as substring.

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, 838716 + ... + 839116.

It is an arithmetic number, because the mean of its divisors is an integer number (9526797).

Almost surely, 2336405316 is an apocalyptic number.

It is an amenable number.

336405316 is an abundant number, since it is smaller than the sum of its proper divisors (349524068).

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

336405316 is a wasteful number, since it uses less digits than its factorization.

336405316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

The square root of 336405316 is about 18341.3553479562. The cubic root of 336405316 is about 695.4847581602.

Adding to 336405316 its reverse (613504633), we get a palindrome (949909949).

The spelling of 336405316 in words is "three hundred thirty-six million, four hundred five thousand, three hundred sixteen".

Divisors: 1 2 4 13 17 26 34 52 68 73 146 169 221 292 338 401 442 676 802 884 949 1241 1604 1898 2482 2873 3796 4964 5213 5746 6817 10426 11492 12337 13634 16133 20852 24674 27268 29273 32266 49348 58546 64532 67769 88621 117092 135538 177242 209729 271076 354484 380549 419458 497641 761098 838916 995282 1152073 1522196 1990564 2304146 4608292 4947137 6469333 9894274 12938666 19788548 25877332 84101329 168202658 336405316