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345290724 = 22321921632
BaseRepresentation
bin10100100101001…
…011011111100100
3220001201120211100
4110211023133210
51201343300344
654132440100
711361631332
oct2445133744
9801646740
10345290724
111679a9039
1297779030
13566c784c
1433c02b52
15204a8569
hex1494b7e4

345290724 has 81 divisors (see below), whose sum is σ = 926859843. Its totient is φ = 108370224.

The previous prime is 345290713. The next prime is 345290753. The reversal of 345290724 is 427092543.

The square root of 345290724 is 18582.

It is a perfect power (a square), and thus also a powerful number.

345290724 is a `hidden beast` number, since 345 + 290 + 7 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2118267 + ... + 2118429.

Almost surely, 2345290724 is an apocalyptic number.

345290724 is the 18582-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345290724

345290724 is an abundant number, since it is smaller than the sum of its proper divisors (581569119).

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

345290724 is a wasteful number, since it uses less digits than its factorization.

345290724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The cubic root of 345290724 is about 701.5548593924.

Multiplying 345290724 by its sum of digits (36), we get a square (12430466064 = 1114922).

345290724 divided by its sum of digits (36) gives a square (9591409 = 30972).

The spelling of 345290724 in words is "three hundred forty-five million, two hundred ninety thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 163 171 228 326 342 361 489 652 684 722 978 1083 1444 1467 1956 2166 2934 3097 3249 4332 5868 6194 6498 9291 12388 12996 18582 26569 27873 37164 53138 55746 58843 79707 106276 111492 117686 159414 176529 235372 239121 318828 353058 478242 504811 529587 706116 956484 1009622 1059174 1514433 2019244 2118348 3028866 4543299 6057732 9086598 9591409 18173196 19182818 28774227 38365636 57548454 86322681 115096908 172645362 345290724