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361470096 = 243213193093
BaseRepresentation
bin10101100010111…
…001100010010000
3221012011120202100
4111202321202100
51220014020341
655511320400
711646305451
oct2542714220
9835146670
10361470096
11176049919
12a1080100
1359b70c40
1436015128
1521b023b6
hex158b9890

361470096 has 60 divisors (see below), whose sum is σ = 1089436348. Its totient is φ = 111220992.

The previous prime is 361470077. The next prime is 361470097. The reversal of 361470096 is 690074163.

361470096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 28772496 + 332697600 = 5364^2 + 18240^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 361470096.

It is not an unprimeable number, because it can be changed into a prime (361470097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94675 + ... + 98418.

Almost surely, 2361470096 is an apocalyptic number.

361470096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

361470096 is an abundant number, since it is smaller than the sum of its proper divisors (727966252).

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

361470096 is a wasteful number, since it uses less digits than its factorization.

361470096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193120 (or 193111 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 361470096 is about 19012.3669226112. The cubic root of 361470096 is about 712.3456744245.

The spelling of 361470096 in words is "three hundred sixty-one million, four hundred seventy thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 193093 386186 579279 772372 1158558 1544744 1737837 2317116 2510209 3089488 3475674 4634232 5020418 6951348 7530627 9268464 10040836 13902696 15061254 20081672 22591881 27805392 30122508 40163344 45183762 60245016 90367524 120490032 180735048 361470096