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234090432 = 2633135469
BaseRepresentation
bin11011111001111…
…10111111000000
3121022111000201000
431330332333000
5434411343212
635121212000
75541510252
oct1574767700
9538430630
10234090432
11110157674
1266491000
1339662064
1423137cd2
15158401dc
hexdf3efc0

234090432 has 56 divisors (see below), whose sum is σ = 688187600. Its totient is φ = 78029568.

The previous prime is 234090419. The next prime is 234090433.

It is a happy number.

234090432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 234090396 and 234090405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234090433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66007 + ... + 69462.

Almost surely, 2234090432 is an apocalyptic number.

It is an amenable number.

234090432 is an abundant number, since it is smaller than the sum of its proper divisors (454097168).

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

234090432 is a wasteful number, since it uses less digits than its factorization.

234090432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135490 (or 135474 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 234090432 is about 15300.0141176405. The cubic root of 234090432 is about 616.3033868446.

The spelling of 234090432 in words is "two hundred thirty-four million, ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 135469 270938 406407 541876 812814 1083752 1219221 1625628 2167504 2438442 3251256 3657663 4335008 4876884 6502512 7315326 8670016 9753768 13005024 14630652 19507536 26010048 29261304 39015072 58522608 78030144 117045216 234090432