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234774528 = 213341233
BaseRepresentation
bin11011111111001…
…10000000000000
3121100202210002220
431333212000000
5440100241103
635144011040
75550356562
oct1577460000
9540683086
10234774528
1111058463a
1266760a80
1339841551
1423275332
1515927c53
hexdfe6000

234774528 has 112 divisors (see below), whose sum is σ = 644048496. Its totient is φ = 76021760.

The previous prime is 234774479. The next prime is 234774559. The reversal of 234774528 is 825477432.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 234774528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1007500 + ... + 1007732.

It is an arithmetic number, because the mean of its divisors is an integer number (5750433).

Almost surely, 2234774528 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 234774528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322024248).

234774528 is an abundant number, since it is smaller than the sum of its proper divisors (409273968).

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

234774528 is an equidigital number, since it uses as much as digits as its factorization.

234774528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 279 counting only the distinct ones).

The product of its digits is 376320, while the sum is 42.

The square root of 234774528 is about 15322.3538661656. The cubic root of 234774528 is about 616.9031559802.

The spelling of 234774528 in words is "two hundred thirty-four million, seven hundred seventy-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 233 246 256 328 384 466 492 512 656 699 768 932 984 1024 1312 1398 1536 1864 1968 2048 2624 2796 3072 3728 3936 4096 5248 5592 6144 7456 7872 8192 9553 10496 11184 12288 14912 15744 19106 20992 22368 24576 28659 29824 31488 38212 41984 44736 57318 59648 62976 76424 83968 89472 114636 119296 125952 152848 167936 178944 229272 238592 251904 305696 335872 357888 458544 477184 503808 611392 715776 917088 954368 1007616 1222784 1431552 1834176 1908736 2445568 2863104 3668352 4891136 5726208 7336704 9782272 14673408 19564544 29346816 39129088 58693632 78258176 117387264 234774528