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361249668 = 223213259377
BaseRepresentation
bin10101100010000…
…011101110000100
3221011202101101100
4111202003232010
51214434442133
655502500100
711644400013
oct2542035604
9834671340
10361249668
11175a0924a
12a0b94630
1359ac4800
1435d98a7a
1521aabe13
hex15883b84

361249668 has 54 divisors (see below), whose sum is σ = 988821834. Its totient is φ = 111151872.

The previous prime is 361249667. The next prime is 361249697. The reversal of 361249668 is 866942163.

It can be written as a sum of positive squares in 3 ways, for example, as 21511044 + 339738624 = 4638^2 + 18432^2 .

It is a super-2 number, since 2×3612496682 = 261002645260220448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (361249667) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23605 + ... + 35772.

Almost surely, 2361249668 is an apocalyptic number.

It is an amenable number.

361249668 is an abundant number, since it is smaller than the sum of its proper divisors (627572166).

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

361249668 is a wasteful number, since it uses less digits than its factorization.

361249668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59413 (or 59395 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 361249668 is about 19006.5690749278. The cubic root of 361249668 is about 712.2008465281.

The spelling of 361249668 in words is "three hundred sixty-one million, two hundred forty-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 59377 118754 178131 237508 356262 534393 712524 771901 1068786 1543802 2137572 2315703 3087604 4631406 6947109 9262812 10034713 13894218 20069426 27788436 30104139 40138852 60208278 90312417 120416556 180624834 361249668