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361226064 = 243171492971
BaseRepresentation
bin10101100001111…
…101111101010000
3221011201012000010
4111201331331100
51214433213224
655502154520
711644241133
oct2541757520
9834635003
10361226064
111759a2541
12a0b82a40
1359ab6b44
1435d9021a
1521aa4e29
hex1587df50

361226064 has 80 divisors (see below), whose sum is σ = 995025600. Its totient is φ = 112527360.

The previous prime is 361226057. The next prime is 361226077. The reversal of 361226064 is 460622163.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120099 + ... + 123069.

It is an arithmetic number, because the mean of its divisors is an integer number (12437820).

Almost surely, 2361226064 is an apocalyptic number.

361226064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361226064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497512800).

361226064 is an abundant number, since it is smaller than the sum of its proper divisors (633799536).

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

361226064 is a wasteful number, since it uses less digits than its factorization.

361226064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3148 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 361226064 is about 19005.9481215750. The cubic root of 361226064 is about 712.1853344909.

The spelling of 361226064 in words is "three hundred sixty-one million, two hundred twenty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 149 204 272 298 408 447 596 816 894 1192 1788 2384 2533 2971 3576 5066 5942 7152 7599 8913 10132 11884 15198 17826 20264 23768 30396 35652 40528 47536 50507 60792 71304 101014 121584 142608 151521 202028 303042 404056 442679 606084 808112 885358 1212168 1328037 1770716 2424336 2656074 3541432 5312148 7082864 7525543 10624296 15051086 21248592 22576629 30102172 45153258 60204344 90306516 120408688 180613032 361226064