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377000964 = 223219229009
BaseRepresentation
bin10110011110001…
…001010000000100
3222021101122002200
4112132021100010
51233003012324
6101224234500
712225312114
oct2636112004
9867348080
10377000964
1118389744a
12a630ba30
136014b0c2
14380d9044
152316dec9
hex16789404

377000964 has 54 divisors (see below), whose sum is σ = 1005805710. Its totient is φ = 119048832.

The previous prime is 377000947. The next prime is 377000971. The reversal of 377000964 is 469000773.

It can be written as a sum of positive squares in only one way, i.e., 254721600 + 122279364 = 15960^2 + 11058^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1509 + ... + 27500.

Almost surely, 2377000964 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 377000964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502902855).

377000964 is an abundant number, since it is smaller than the sum of its proper divisors (628804746).

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

377000964 is a wasteful number, since it uses less digits than its factorization.

377000964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29057 (or 29033 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 377000964 is about 19416.5126631947. The cubic root of 377000964 is about 722.4051281263.

The spelling of 377000964 in words is "three hundred seventy-seven million, nine hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 6498 12996 29009 58018 87027 116036 174054 261081 348108 522162 551171 1044324 1102342 1653513 2204684 3307026 4960539 6614052 9921078 10472249 19842156 20944498 31416747 41888996 62833494 94250241 125666988 188500482 377000964