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340661646 = 233133731301
BaseRepresentation
bin10100010011100…
…001010110001110
3212202000101221000
4110103201112032
51144202133041
653445321130
711304401433
oct2423412616
9782011830
10340661646
11165327156
12961061a6
1355766850
1433359b8a
151ed91bb6
hex144e158e

340661646 has 64 divisors (see below), whose sum is σ = 818072640. Its totient is φ = 104457600.

The previous prime is 340661641. The next prime is 340661653. The reversal of 340661646 is 646166043.

340661646 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 6 + 1 + 646 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 340661646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340661641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261196 + ... + 262496.

It is an arithmetic number, because the mean of its divisors is an integer number (12782385).

Almost surely, 2340661646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340661646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409036320).

340661646 is an abundant number, since it is smaller than the sum of its proper divisors (477410994).

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

340661646 is a wasteful number, since it uses less digits than its factorization.

340661646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 340661646 is about 18457.0215907118. The cubic root of 340661646 is about 698.4056544104.

The spelling of 340661646 in words is "three hundred forty million, six hundred sixty-one thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 373 702 746 1119 1301 2238 2602 3357 3903 4849 6714 7806 9698 10071 11709 14547 16913 20142 23418 29094 33826 35127 43641 50739 70254 87282 101478 130923 152217 261846 304434 456651 485273 913302 970546 1455819 2911638 4367457 6308549 8734914 12617098 13102371 18925647 26204742 37851294 56776941 113553882 170330823 340661646