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234204384 = 2534751907
BaseRepresentation
bin11011111010110…
…10110011100000
3121022200211000110
431331122303200
5434424020014
635123451320
75542463421
oct1575326340
9538624013
10234204384
11110225247
1266526b40
13396a1b9b
1423167648
1515863d59
hexdf5ace0

234204384 has 48 divisors (see below), whose sum is σ = 627879168. Its totient is φ = 76405632.

The previous prime is 234204379. The next prime is 234204389. The reversal of 234204384 is 483402432.

It is an interprime number because it is at equal distance from previous prime (234204379) and next prime (234204389).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234204389) 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, 21442 + ... + 30465.

It is an arithmetic number, because the mean of its divisors is an integer number (13080816).

Almost surely, 2234204384 is an apocalyptic number.

234204384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234204384 is an abundant number, since it is smaller than the sum of its proper divisors (393674784).

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

234204384 is a wasteful number, since it uses less digits than its factorization.

234204384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51967 (or 51959 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 234204384 is about 15303.7375826953. The cubic root of 234204384 is about 616.4033732908.

The spelling of 234204384 in words is "two hundred thirty-four million, two hundred four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 51907 103814 155721 207628 311442 415256 622884 830512 1245768 1661024 2439629 2491536 4879258 4983072 7318887 9758516 14637774 19517032 29275548 39034064 58551096 78068128 117102192 234204384