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646342164 = 2232133593847
BaseRepresentation
bin100110100001100…
…110011000010100
31200001012120202200
4212201212120110
52310430422124
6144045204500
722005550326
oct4641463024
91601176680
10646342164
11301930486
12160560730
13a3ba30b0
1461bab616
153bb23bc9
hex26866614

646342164 has 72 divisors (see below), whose sum is σ = 1764846720. Its totient is φ = 198268992.

The previous prime is 646342141. The next prime is 646342187. The reversal of 646342164 is 461243646.

646342164 is a `hidden beast` number, since 6 + 4 + 634 + 2 + 16 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (646342141) and next prime (646342187).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166089 + ... + 169935.

It is an arithmetic number, because the mean of its divisors is an integer number (24511760).

Almost surely, 2646342164 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 646342164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882423360).

646342164 is an abundant number, since it is smaller than the sum of its proper divisors (1118504556).

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

646342164 is a wasteful number, since it uses less digits than its factorization.

646342164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4229 (or 4224 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 646342164 is about 25423.2602944626. The cubic root of 646342164 is about 864.6111448977.

The spelling of 646342164 in words is "six hundred forty-six million, three hundred forty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 359 468 718 1077 1436 2154 3231 3847 4308 4667 6462 7694 9334 11541 12924 14001 15388 18668 23082 28002 34623 42003 46164 50011 56004 69246 84006 100022 138492 150033 168012 200044 300066 450099 600132 900198 1381073 1800396 2762146 4143219 5524292 8286438 12429657 16572876 17953949 24859314 35907898 49718628 53861847 71815796 107723694 161585541 215447388 323171082 646342164