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340383168 = 2633281701
BaseRepresentation
bin10100010010011…
…101010111000000
3212201111020221000
4110102131113000
51144114230133
653435332000
711302131516
oct2422352700
9781436830
10340383168
11165156a04
1295bb1000
1355699b78
14332c64b6
151ed39413
hex1449d5c0

340383168 has 112 divisors (see below), whose sum is σ = 1005657120. Its totient is φ = 112896000.

The previous prime is 340383167. The next prime is 340383203. The reversal of 340383168 is 861383043.

It is a happy number.

340383168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340383167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485218 + ... + 485918.

Almost surely, 2340383168 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 340383168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502828560).

340383168 is an abundant number, since it is smaller than the sum of its proper divisors (665273952).

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

340383168 is a wasteful number, since it uses less digits than its factorization.

340383168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 340383168 is about 18449.4760901225. The cubic root of 340383168 is about 698.2152958024.

The spelling of 340383168 in words is "three hundred forty million, three hundred eighty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 281 288 432 562 576 701 843 864 1124 1402 1686 1728 2103 2248 2529 2804 3372 4206 4496 5058 5608 6309 6744 7587 8412 8992 10116 11216 12618 13488 15174 16824 17984 18927 20232 22432 25236 26976 30348 33648 37854 40464 44864 50472 53952 60696 67296 75708 80928 100944 121392 134592 151416 161856 196981 201888 242784 302832 393962 403776 485568 590943 605664 787924 1181886 1211328 1575848 1772829 2363772 3151696 3545658 4727544 5318487 6303392 7091316 9455088 10636974 12606784 14182632 18910176 21273948 28365264 37820352 42547896 56730528 85095792 113461056 170191584 340383168