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340531968 = 283729049
BaseRepresentation
bin10100010011000…
…001101100000000
3212201202211001010
4110103001230000
51144134010333
653442440520
711303321400
oct2423015400
9781684033
10340531968
11165248787
1296063140
135571c80a
1433324800
151ed68563
hex144c1b00

340531968 has 108 divisors (see below), whose sum is σ = 1054397400. Its totient is φ = 97284096.

The previous prime is 340531957. The next prime is 340531973. The reversal of 340531968 is 869135043.

340531968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33108 + ... + 42156.

Almost surely, 2340531968 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 340531968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527198700).

340531968 is an abundant number, since it is smaller than the sum of its proper divisors (713865432).

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

340531968 is an equidigital number, since it uses as much as digits as its factorization.

340531968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9082 (or 9061 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 340531968 is about 18453.5082843344. The cubic root of 340531968 is about 698.3170236101.

The spelling of 340531968 in words is "three hundred forty million, five hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 588 672 768 784 896 1176 1344 1568 1792 2352 2688 3136 4704 5376 6272 9049 9408 12544 18098 18816 27147 36196 37632 54294 63343 72392 108588 126686 144784 190029 217176 253372 289568 380058 434352 443401 506744 579136 760116 868704 886802 1013488 1158272 1330203 1520232 1737408 1773604 2026976 2316544 2660406 3040464 3474816 3547208 4053952 5320812 6080928 6949632 7094416 8107904 10641624 12161856 14188832 16215808 21283248 24323712 28377664 42566496 48647424 56755328 85132992 113510656 170265984 340531968