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361940368 = 24971012309
BaseRepresentation
bin10101100100101…
…100010110010000
3221020001110211211
4111210230112100
51220124042433
655525345504
711653304506
oct2544542620
9836043754
10361940368
11176340179
12a1268294
1359ca6cca
14360d8676
1521b968cd
hex1592c590

361940368 has 40 divisors (see below), whose sum is σ = 715813560. Its totient is φ = 177254400.

The previous prime is 361940363. The next prime is 361940399. The reversal of 361940368 is 863049163.

It can be written as a sum of positive squares in 4 ways, for example, as 201867264 + 160073104 = 14208^2 + 12652^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 361940368.

It is not an unprimeable number, because it can be changed into a prime (361940363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155598 + ... + 157906.

It is an arithmetic number, because the mean of its divisors is an integer number (17895339).

Almost surely, 2361940368 is an apocalyptic number.

It is an amenable number.

361940368 is a deficient number, since it is larger than the sum of its proper divisors (353873192).

361940368 is a wasteful number, since it uses less digits than its factorization.

361940368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 361940368 is about 19024.7304317302. The cubic root of 361940368 is about 712.6544607364.

The spelling of 361940368 in words is "three hundred sixty-one million, nine hundred forty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 97 101 194 202 388 404 776 808 1552 1616 2309 4618 9236 9797 18472 19594 36944 39188 78376 156752 223973 233209 447946 466418 895892 932836 1791784 1865672 3583568 3731344 22621273 45242546 90485092 180970184 361940368