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234150304 = 2523833833
BaseRepresentation
bin11011111010011…
…01100110100000
3121022121001211111
431331031212200
5434420302204
635122353104
75542146643
oct1575154640
9538531744
10234150304
11110198653
12664bb794
133968339b
1423151a5a
1515852d04
hexdf4d9a0

234150304 has 48 divisors (see below), whose sum is σ = 486948672. Its totient is φ = 110606848.

The previous prime is 234150277. The next prime is 234150307. The reversal of 234150304 is 403051432.

It is not an unprimeable number, because it can be changed into a prime (234150307) 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, 59172 + ... + 63004.

It is an arithmetic number, because the mean of its divisors is an integer number (10144764).

Almost surely, 2234150304 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 234150304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243474336).

234150304 is an abundant number, since it is smaller than the sum of its proper divisors (252798368).

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

234150304 is a wasteful number, since it uses less digits than its factorization.

234150304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3949 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 234150304 is about 15301.9705920512. The cubic root of 234150304 is about 616.3559251887.

The spelling of 234150304 in words is "two hundred thirty-four million, one hundred fifty thousand, three hundred four".

Divisors: 1 2 4 8 16 23 32 46 83 92 166 184 332 368 664 736 1328 1909 2656 3818 3833 7636 7666 15272 15332 30544 30664 61088 61328 88159 122656 176318 318139 352636 636278 705272 1272556 1410544 2545112 2821088 5090224 7317197 10180448 14634394 29268788 58537576 117075152 234150304