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340451328 = 213371979
BaseRepresentation
bin10100010010101…
…110000000000000
3212201121201102110
4110102232000000
51144123420303
653441015320
711302534320
oct2422560000
9781551373
10340451328
111651a3138
1296024540
13556c1bb9
1433303280
151ed4e703
hex144ae000

340451328 has 112 divisors (see below), whose sum is σ = 1038026880. Its totient is φ = 97222656.

The previous prime is 340451317. The next prime is 340451347. The reversal of 340451328 is 823154043.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 340451295 and 340451304.

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, 171043 + ... + 173021.

Almost surely, 2340451328 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 340451328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519013440).

340451328 is an abundant number, since it is smaller than the sum of its proper divisors (697575552).

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

340451328 is an equidigital number, since it uses as much as digits as its factorization.

340451328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 340451328 is about 18451.3232045835. The cubic root of 340451328 is about 698.2618973805.

The spelling of 340451328 in words is "three hundred forty million, four hundred fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 1979 2048 2688 3072 3584 3958 4096 5376 5937 6144 7168 7916 8192 10752 11874 12288 13853 14336 15832 21504 23748 24576 27706 28672 31664 41559 43008 47496 55412 57344 63328 83118 86016 94992 110824 126656 166236 172032 189984 221648 253312 332472 379968 443296 506624 664944 759936 886592 1013248 1329888 1519872 1773184 2026496 2659776 3039744 3546368 4052992 5319552 6079488 7092736 8105984 10639104 12158976 14185472 16211968 21278208 24317952 28370944 42556416 48635904 56741888 85112832 113483776 170225664 340451328