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368861364 = 22351919973
BaseRepresentation
bin10101111111000…
…110000010110100
3221201002002200000
4111333012002310
51223412030424
6100333551300
712066161364
oct2577060264
9851062600
10368861364
1117a238003
12a3645530
135b55b281
1436dba9a4
15225b23c9
hex15fc60b4

368861364 has 72 divisors (see below), whose sum is σ = 1017875040. Its totient is φ = 116476704.

The previous prime is 368861357. The next prime is 368861369. The reversal of 368861364 is 463168863.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368861369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8482 + ... + 28454.

Almost surely, 2368861364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368861364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508937520).

368861364 is an abundant number, since it is smaller than the sum of its proper divisors (649013676).

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

368861364 is a wasteful number, since it uses less digits than its factorization.

368861364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20011 (or 19997 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 368861364 is about 19205.7638223529. The cubic root of 368861364 is about 717.1682523862.

The spelling of 368861364 in words is "three hundred sixty-eight million, eight hundred sixty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 972 1026 1539 2052 3078 4617 6156 9234 18468 19973 39946 59919 79892 119838 179757 239676 359514 379487 539271 719028 758974 1078542 1138461 1517948 1617813 2157084 2276922 3235626 3415383 4553844 4853439 6471252 6830766 9706878 10246149 13661532 19413756 20492298 30738447 40984596 61476894 92215341 122953788 184430682 368861364