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345272448 = 27317227233
BaseRepresentation
bin10100100101000…
…111000010000000
3220001200122202110
4110211013002000
51201342204243
654132215320
711361524133
oct2445070200
9801618673
10345272448
11167996334
129776a540
13566bc431
1433bda21a
15204a2e33
hex14947080

345272448 has 128 divisors (see below), whose sum is σ = 979542720. Its totient is φ = 107380736.

The previous prime is 345272441. The next prime is 345272453. The reversal of 345272448 is 844272543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (345272441) 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, 1481740 + ... + 1481972.

Almost surely, 2345272448 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 345272448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489771360).

345272448 is an abundant number, since it is smaller than the sum of its proper divisors (634270272).

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

345272448 is a wasteful number, since it uses less digits than its factorization.

345272448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 482 counting only the distinct ones).

The product of its digits is 215040, while the sum is 39.

The square root of 345272448 is about 18581.5082272672. The cubic root of 345272448 is about 701.5424815689.

The spelling of 345272448 in words is "three hundred forty-five million, two hundred seventy-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 227 233 272 384 408 454 466 544 681 699 816 908 932 1088 1362 1398 1632 1816 1864 2176 2724 2796 3264 3632 3728 3859 3961 5448 5592 6528 7264 7456 7718 7922 10896 11184 11577 11883 14528 14912 15436 15844 21792 22368 23154 23766 29056 29824 30872 31688 43584 44736 46308 47532 52891 61744 63376 87168 89472 92616 95064 105782 123488 126752 158673 185232 190128 211564 246976 253504 317346 370464 380256 423128 493952 507008 634692 740928 760512 846256 899147 1269384 1481856 1521024 1692512 1798294 2538768 2697441 3385024 3596588 5077536 5394882 6770048 7193176 10155072 10789764 14386352 20310144 21579528 28772704 43159056 57545408 86318112 115090816 172636224 345272448