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340263456 = 25313475801
BaseRepresentation
bin10100010010000…
…000001000100000
3212201021011201020
4110102000020200
51144101412311
653433005440
711301122511
oct2422001040
9781234636
10340263456
11165084a75
1295b53880
1355657530
1433294a08
151ed13c06
hex14480220

340263456 has 96 divisors (see below), whose sum is σ = 982533888. Its totient is φ = 102451200.

The previous prime is 340263437. The next prime is 340263479. The reversal of 340263456 is 654362043.

340263456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55756 + ... + 61556.

It is an arithmetic number, because the mean of its divisors is an integer number (10234728).

Almost surely, 2340263456 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 340263456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491266944).

340263456 is an abundant number, since it is smaller than the sum of its proper divisors (642270432).

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

340263456 is a wasteful number, since it uses less digits than its factorization.

340263456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5874 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 340263456 is about 18446.2314850486. The cubic root of 340263456 is about 698.1334326179.

The spelling of 340263456 in words is "three hundred forty million, two hundred sixty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 78 94 96 104 141 156 188 208 282 312 376 416 564 611 624 752 1128 1222 1248 1504 1833 2256 2444 3666 4512 4888 5801 7332 9776 11602 14664 17403 19552 23204 29328 34806 46408 58656 69612 75413 92816 139224 150826 185632 226239 272647 278448 301652 452478 545294 556896 603304 817941 904956 1090588 1206608 1635882 1809912 2181176 2413216 3271764 3544411 3619824 4362352 6543528 7088822 7239648 8724704 10633233 13087056 14177644 21266466 26174112 28355288 42532932 56710576 85065864 113421152 170131728 340263456