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345274528 = 25233137409
BaseRepresentation
bin10100100101000…
…111100010100000
3220001200202121111
4110211013202200
51201342241103
654132233104
711361533164
oct2445074240
9801622544
10345274528
11167997955
129776b794
13566c0371
1433bdaca4
15204a386d
hex149478a0

345274528 has 96 divisors (see below), whose sum is σ = 753822720. Its totient is φ = 155105280.

The previous prime is 345274511. The next prime is 345274529. The reversal of 345274528 is 825472543.

345274528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (345274529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843988 + ... + 844396.

It is an arithmetic number, because the mean of its divisors is an integer number (7852320).

Almost surely, 2345274528 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 345274528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376911360).

345274528 is an abundant number, since it is smaller than the sum of its proper divisors (408548192).

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

345274528 is a wasteful number, since it uses less digits than its factorization.

345274528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 502 counting only the distinct ones).

The product of its digits is 268800, while the sum is 40.

The square root of 345274528 is about 18581.5641968054. The cubic root of 345274528 is about 701.5438903168.

The spelling of 345274528 in words is "three hundred forty-five million, two hundred seventy-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 23 31 32 37 46 62 74 92 124 148 184 248 296 368 409 496 592 713 736 818 851 992 1147 1184 1426 1636 1702 2294 2852 3272 3404 4588 5704 6544 6808 9176 9407 11408 12679 13088 13616 15133 18352 18814 22816 25358 26381 27232 30266 36704 37628 50716 52762 60532 75256 101432 105524 121064 150512 202864 211048 242128 291617 301024 348059 405728 422096 469123 484256 583234 696118 844192 938246 1166468 1392236 1876492 2332936 2784472 3752984 4665872 5568944 7505968 9331744 10789829 11137888 15011936 21579658 43159316 86318632 172637264 345274528