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234201408 = 2637174257
BaseRepresentation
bin11011111010110…
…10000101000000
3121022200122221020
431331122011000
5434423421113
635123425440
75542451640
oct1575320500
9538618836
10234201408
11110222a91
1266525280
13396a071c
1423166520
1515863023
hexdf5a140

234201408 has 56 divisors (see below), whose sum is σ = 708184512. Its totient is φ = 66914304.

The previous prime is 234201403. The next prime is 234201413. The reversal of 234201408 is 804102432.

It is an interprime number because it is at equal distance from previous prime (234201403) and next prime (234201413).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234201403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85785 + ... + 88472.

It is an arithmetic number, because the mean of its divisors is an integer number (12646152).

Almost surely, 2234201408 is an apocalyptic number.

234201408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

234201408 is an abundant number, since it is smaller than the sum of its proper divisors (473983104).

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

234201408 is a wasteful number, since it uses less digits than its factorization.

234201408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174279 (or 174269 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 234201408 is about 15303.6403512367. The cubic root of 234201408 is about 616.4007624313.

The spelling of 234201408 in words is "two hundred thirty-four million, two hundred one thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 174257 348514 522771 697028 1045542 1219799 1394056 2091084 2439598 2788112 3659397 4182168 4879196 5576224 7318794 8364336 9758392 11152448 14637588 16728672 19516784 29275176 33457344 39033568 58550352 78067136 117100704 234201408