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340404672 = 2637124971
BaseRepresentation
bin10100010010100…
…010100111000000
3212201112100102110
4110102202213000
51144120422142
653440015320
711302251306
oct2422424700
9781470373
10340404672
11165171083
1296001540
13556a68aa
14332d0276
151ed4099c
hex144a29c0

340404672 has 56 divisors (see below), whose sum is σ = 913375872. Its totient is φ = 111865600.

The previous prime is 340404671. The next prime is 340404677. The reversal of 340404672 is 276404043.

It is a super-3 number, since 3×3404046723 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340404671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1147 + ... + 26117.

Almost surely, 2340404672 is an apocalyptic number.

340404672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340404672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456687936).

340404672 is an abundant number, since it is smaller than the sum of its proper divisors (572971200).

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

340404672 is a wasteful number, since it uses less digits than its factorization.

340404672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25057 (or 25047 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 340404672 is about 18450.0588616947. The cubic root of 340404672 is about 698.2299989438.

The spelling of 340404672 in words is "three hundred forty million, four hundred four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 852 1136 1704 2272 3408 4544 6816 13632 24971 49942 74913 99884 149826 199768 299652 399536 599304 799072 1198608 1598144 1772941 2397216 3545882 4794432 5318823 7091764 10637646 14183528 21275292 28367056 42550584 56734112 85101168 113468224 170202336 340404672