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361228036 = 22132172432
BaseRepresentation
bin10101100001111…
…110011100000100
3221011201021201011
4111201332130010
51214433244121
655502212004
711644246651
oct2541763404
9834637634
10361228036
111759a3a74
12a0b84004
1359ab7a00
1435d90c28
1521aa57e1
hex1587e704

361228036 has 81 divisors (see below), whose sum is σ = 744454431. Its totient is φ = 153264384.

The previous prime is 361228009. The next prime is 361228061. The reversal of 361228036 is 630822163.

The square root of 361228036 is 19006.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3261636 + 357966400 = 1806^2 + 18920^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 361227989 and 361228007.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8400631 + ... + 8400673.

Almost surely, 2361228036 is an apocalyptic number.

361228036 is the 19006-th square number.

It is an amenable number.

361228036 is an abundant number, since it is smaller than the sum of its proper divisors (383226395).

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

361228036 is a wasteful number, since it uses less digits than its factorization.

361228036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The cubic root of 361228036 is about 712.1866304724.

The spelling of 361228036 in words is "three hundred sixty-one million, two hundred twenty-eight thousand, thirty-six".

Divisors: 1 2 4 13 17 26 34 43 52 68 86 169 172 221 289 338 442 559 578 676 731 884 1118 1156 1462 1849 2236 2873 2924 3698 3757 5746 7267 7396 7514 9503 11492 12427 14534 15028 19006 24037 24854 29068 31433 38012 48074 48841 49708 62866 96148 97682 123539 125732 161551 195364 247078 312481 323102 408629 494156 534361 624962 646204 817258 1068722 1249924 1634516 2100163 2137444 4200326 5312177 6946693 8400652 10624354 13893386 21248708 27786772 90307009 180614018 361228036