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361112364 = 22334617253
BaseRepresentation
bin10101100001100…
…010001100101100
3221011111102001000
4111201202030230
51214421043424
655455520300
711643255504
oct2541421454
9834442030
10361112364
11175925078
12a0b29090
1359a77172
1435d60a04
1521a813c9
hex1586232c

361112364 has 48 divisors (see below), whose sum is σ = 938377440. Its totient is φ = 120093120.

The previous prime is 361112359. The next prime is 361112369. The reversal of 361112364 is 463211163.

361112364 is a `hidden beast` number, since 3 + 611 + 12 + 36 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (361112359) and next prime (361112369).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (361112369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46162 + ... + 53414.

It is an arithmetic number, because the mean of its divisors is an integer number (19549530).

Almost surely, 2361112364 is an apocalyptic number.

It is an amenable number.

361112364 is an abundant number, since it is smaller than the sum of its proper divisors (577265076).

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

361112364 is a wasteful number, since it uses less digits than its factorization.

361112364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7727 (or 7719 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 361112364 is about 19002.9567173111. The cubic root of 361112364 is about 712.1106038461.

The spelling of 361112364 in words is "three hundred sixty-one million, one hundred twelve thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 461 922 1383 1844 2766 4149 5532 7253 8298 12447 14506 16596 21759 24894 29012 43518 49788 65277 87036 130554 195831 261108 391662 783324 3343633 6687266 10030899 13374532 20061798 30092697 40123596 60185394 90278091 120370788 180556182 361112364