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376240644 = 22321336771
BaseRepresentation
bin10110011011001…
…111101000000100
3222012222000010200
4112123033220010
51232304200034
6101200050500
712215664333
oct2633175004
9865860120
10376240644
1118341818a
12a6003a30
135cc43000
1437d7bd1a
152306da99
hex166cfa04

376240644 has 144 divisors (see below), whose sum is σ = 1060375680. Its totient is φ = 112432320.

The previous prime is 376240639. The next prime is 376240661. The reversal of 376240644 is 446042673.

376240644 is a `hidden beast` number, since 3 + 7 + 6 + 2 + 4 + 0 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 376240599 and 376240608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5299129 + ... + 5299199.

It is an arithmetic number, because the mean of its divisors is an integer number (7363720).

Almost surely, 2376240644 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 376240644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530187840).

376240644 is an abundant number, since it is smaller than the sum of its proper divisors (684135036).

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

376240644 is a wasteful number, since it uses less digits than its factorization.

376240644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 376240644 is about 19396.9235705047. The cubic root of 376240644 is about 721.9191623289.

The spelling of 376240644 in words is "three hundred seventy-six million, two hundred forty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 67 71 78 117 134 142 156 169 201 213 234 268 284 338 402 426 468 507 603 639 676 804 852 871 923 1014 1206 1278 1521 1742 1846 2028 2197 2412 2556 2613 2769 3042 3484 3692 4394 4757 5226 5538 6084 6591 7839 8307 8788 9514 10452 11076 11323 11999 13182 14271 15678 16614 19028 19773 22646 23998 26364 28542 31356 33228 33969 35997 39546 42813 45292 47996 57084 61841 67938 71994 79092 85626 101907 107991 123682 135876 143988 147199 155987 171252 185523 203814 215982 247364 294398 311974 371046 407628 431964 441597 467961 556569 588796 623948 742092 803933 883194 935922 1113138 1324791 1403883 1607866 1766388 1871844 2226276 2411799 2649582 2807766 3215732 4823598 5299164 5615532 7235397 9647196 10451129 14470794 20902258 28941588 31353387 41804516 62706774 94060161 125413548 188120322 376240644