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366544242 = 232176173269
BaseRepresentation
bin10101110110010…
…000010101110010
3221112201101011200
4111312100111302
51222313403432
6100212152030
712040401051
oct2566202562
9845641150
10366544242
111789a5129
12a2908616
135ac296ac
1436976398
15222a5a7c
hex15d90572

366544242 has 96 divisors (see below), whose sum is σ = 869609520. Its totient is φ = 111144960.

The previous prime is 366544231. The next prime is 366544291. The reversal of 366544242 is 242445663.

366544242 is a `hidden beast` number, since 366 + 54 + 4 + 242 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 56115081 + 310429161 = 7491^2 + 17619^2 .

It is a junction number, because it is equal to n+sod(n) for n = 366544197 and 366544206.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1362484 + ... + 1362752.

Almost surely, 2366544242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 366544242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434804760).

366544242 is an abundant number, since it is smaller than the sum of its proper divisors (503065278).

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

366544242 is a wasteful number, since it uses less digits than its factorization.

366544242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 425 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 366544242 is about 19145.3451783978. The cubic root of 366544242 is about 715.6633887405.

The spelling of 366544242 in words is "three hundred sixty-six million, five hundred forty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 61 73 102 122 146 153 183 219 269 306 366 438 538 549 657 807 1037 1098 1241 1314 1614 2074 2421 2482 3111 3723 4453 4573 4842 6222 7446 8906 9146 9333 11169 13359 13719 16409 18666 19637 22338 26718 27438 32818 39274 40077 41157 49227 58911 75701 80154 82314 98454 117822 147681 151402 176733 227103 278953 295362 333829 353466 454206 557906 667658 681309 836859 1001487 1197857 1362618 1673718 2002974 2395714 2510577 3004461 3593571 5021154 6008922 7187142 10780713 20363569 21561426 40727138 61090707 122181414 183272121 366544242