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234214032 = 243131722079
BaseRepresentation
bin11011111010111…
…01001010010000
3121022201022020210
431331131022100
5434424322112
635124004120
75542533513
oct1575351220
9538638223
10234214032
11110231518
1266530640
13396a63b0
142316ad7a
1515866b3c
hexdf5d290

234214032 has 80 divisors (see below), whose sum is σ = 689955840. Its totient is φ = 67823616.

The previous prime is 234214031. The next prime is 234214039. The reversal of 234214032 is 230412432.

It is not an unprimeable number, because it can be changed into a prime (234214031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432 + ... + 21647.

It is an arithmetic number, because the mean of its divisors is an integer number (8624448).

Almost surely, 2234214032 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 234214032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344977920).

234214032 is an abundant number, since it is smaller than the sum of its proper divisors (455741808).

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

234214032 is a wasteful number, since it uses less digits than its factorization.

234214032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22120 (or 22114 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 234214032 is about 15304.0527965634. The cubic root of 234214032 is about 616.4118373767.

Adding to 234214032 its reverse (230412432), we get a palindrome (464626464).

The spelling of 234214032 in words is "two hundred thirty-four million, two hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1326 1768 2652 3536 5304 10608 22079 44158 66237 88316 132474 176632 264948 287027 353264 375343 529896 574054 750686 861081 1059792 1126029 1148108 1501372 1722162 2252058 2296216 3002744 3444324 4504116 4592432 4879459 6005488 6888648 9008232 9758918 13777296 14638377 18016464 19517836 29276754 39035672 58553508 78071344 117107016 234214032