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234075096 = 23353472
BaseRepresentation
bin11011111001110…
…11001111011000
3121022110020200000
431330323033120
5434410400341
635121013000
75541414453
oct1574731730
9538406600
10234075096
111101470a2
1266484160
1339658098
142313249a
151583a8b6
hexdf3b3d8

234075096 has 72 divisors (see below), whose sum is σ = 659333220. Its totient is φ = 77800176.

The previous prime is 234075077. The next prime is 234075103. The reversal of 234075096 is 690570432.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

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 234075096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 674395 + ... + 674741.

Almost surely, 2234075096 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 234075096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329666610).

234075096 is an abundant number, since it is smaller than the sum of its proper divisors (425258124).

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

234075096 is an frugal number, since it uses more digits than its factorization.

234075096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 234075096 is about 15299.5129334237. The cubic root of 234075096 is about 616.2899278934.

The spelling of 234075096 in words is "two hundred thirty-four million, seventy-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 347 486 648 694 972 1041 1388 1944 2082 2776 3123 4164 6246 8328 9369 12492 18738 24984 28107 37476 56214 74952 84321 112428 120409 168642 224856 240818 337284 361227 481636 674568 722454 963272 1083681 1444908 2167362 2889816 3251043 4334724 6502086 8669448 9753129 13004172 19506258 26008344 29259387 39012516 58518774 78025032 117037548 234075096