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340397056 = 2102397149
BaseRepresentation
bin10100010010100…
…000110000000000
3212201111221222101
4110102200300000
51144120201211
653435520144
711302220146
oct2422406000
9781457871
10340397056
1116516638a
1295bb9054
13556a329c
14332cb596
151ed3d5c1
hex144a0c00

340397056 has 88 divisors (see below), whose sum is σ = 722181600. Its totient is φ = 160038912.

The previous prime is 340397011. The next prime is 340397059. The reversal of 340397056 is 650793043.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (340397059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2284470 + ... + 2284618.

Almost surely, 2340397056 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 340397056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361090800).

340397056 is an abundant number, since it is smaller than the sum of its proper divisors (381784544).

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

340397056 is a wasteful number, since it uses less digits than its factorization.

340397056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The square root of 340397056 is about 18449.8524655348. The cubic root of 340397056 is about 698.2247916520.

The spelling of 340397056 in words is "three hundred forty million, three hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 97 128 149 184 194 256 298 368 388 512 596 736 776 1024 1192 1472 1552 2231 2384 2944 3104 3427 4462 4768 5888 6208 6854 8924 9536 11776 12416 13708 14453 17848 19072 23552 24832 27416 28906 35696 38144 49664 54832 57812 71392 76288 99328 109664 115624 142784 152576 219328 231248 285568 332419 438656 462496 571136 664838 877312 924992 1142272 1329676 1754624 1849984 2284544 2659352 3509248 3699968 5318704 7399936 10637408 14799872 21274816 42549632 85099264 170198528 340397056