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382105044 = 223229366001
BaseRepresentation
bin10110110001100…
…111010111010100
3222121222221120200
4112301213113110
51240304330134
6101525500500
712316560606
oct2661472724
9877887520
10382105044
111867631a2
12a7b71730
1361217379
1438a67176
152382b499
hex16c675d4

382105044 has 36 divisors (see below), whose sum is σ = 999185460. Its totient is φ = 122976000.

The previous prime is 382105013. The next prime is 382105057. The reversal of 382105044 is 440501283.

It can be written as a sum of positive squares in 2 ways, for example, as 226803600 + 155301444 = 15060^2 + 12462^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 382104999 and 382105017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181957 + ... + 184044.

Almost surely, 2382105044 is an apocalyptic number.

It is an amenable number.

382105044 is an abundant number, since it is smaller than the sum of its proper divisors (617080416).

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

382105044 is a wasteful number, since it uses less digits than its factorization.

382105044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366040 (or 366035 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 382105044 is about 19547.5073602749. The cubic root of 382105044 is about 725.6506526774.

The spelling of 382105044 in words is "three hundred eighty-two million, one hundred five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 366001 732002 1098003 1464004 2196006 3294009 4392012 6588018 10614029 13176036 21228058 31842087 42456116 63684174 95526261 127368348 191052522 382105044