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424326096 = 243217317033
BaseRepresentation
bin11001010010101…
…011001111010000
31002120102222222100
4121102223033100
51332111413341
6110034440400
713341466215
oct3122531720
91076388870
10424326096
111a8580527
12ba133100
1369baab3c
14404d7b0c
15273bb3b6
hex194ab3d0

424326096 has 60 divisors (see below), whose sum is σ = 1194458148. Its totient is φ = 140616192.

The previous prime is 424326079. The next prime is 424326139. The reversal of 424326096 is 690623424.

424326096 is a `hidden beast` number, since 4 + 2 + 43 + 2 + 609 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 251666496 + 172659600 = 15864^2 + 13140^2 .

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 424326096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16396 + ... + 33428.

Almost surely, 2424326096 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 424326096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597229074).

424326096 is an abundant number, since it is smaller than the sum of its proper divisors (770132052).

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

424326096 is a wasteful number, since it uses less digits than its factorization.

424326096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17220 (or 17211 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 424326096 is about 20599.1770709415. The cubic root of 424326096 is about 751.4496973646.

The spelling of 424326096 in words is "four hundred twenty-four million, three hundred twenty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 346 519 692 1038 1384 1557 2076 2768 3114 4152 6228 8304 12456 17033 24912 34066 51099 68132 102198 136264 153297 204396 272528 306594 408792 613188 817584 1226376 2452752 2946709 5893418 8840127 11786836 17680254 23573672 26520381 35360508 47147344 53040762 70721016 106081524 141442032 212163048 424326096