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368060472 = 2332131723131
BaseRepresentation
bin10101111100000…
…010100000111000
3221122120102001100
4111330002200320
51223210413342
6100304451400
712056314413
oct2574024070
9848512040
10368060472
1117984030a
12a3319b60
135b33a880
1436c4cb7a
15224a4e4c
hex15f02838

368060472 has 96 divisors (see below), whose sum is σ = 1136706480. Its totient is φ = 106583040.

The previous prime is 368060453. The next prime is 368060491. The reversal of 368060472 is 274060863.

368060472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (368060453) and next prime (368060491).

It is a super-2 number, since 2×3680604722 = 270937022097725568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4347 + ... + 27477.

Almost surely, 2368060472 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 368060472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568353240).

368060472 is an abundant number, since it is smaller than the sum of its proper divisors (768646008).

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

368060472 is a wasteful number, since it uses less digits than its factorization.

368060472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23173 (or 23166 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 368060472 is about 19184.9021889610. The cubic root of 368060472 is about 716.6488246024.

The spelling of 368060472 in words is "three hundred sixty-eight million, sixty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 306 312 408 442 468 612 663 884 936 1224 1326 1768 1989 2652 3978 5304 7956 15912 23131 46262 69393 92524 138786 185048 208179 277572 300703 393227 416358 555144 601406 786454 832716 902109 1179681 1202812 1572908 1665432 1804218 2359362 2405624 2706327 3145816 3539043 3608436 4718724 5111951 5412654 7078086 7216872 9437448 10223902 10825308 14156172 15335853 20447804 21650616 28312344 30671706 40895608 46007559 61343412 92015118 122686824 184030236 368060472