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380140544 = 2107181293
BaseRepresentation
bin10110101010000…
…111110000000000
3222111022010210102
4112222013300000
51234303444134
6101415421532
712264066320
oct2652076000
9874263712
10380140544
11185641243
12a73848a8
13609aa144
14386b5280
152358e37e
hex16a87c00

380140544 has 88 divisors (see below), whose sum is σ = 876247008. Its totient is φ = 161464320.

The previous prime is 380140499. The next prime is 380140567. The reversal of 380140544 is 445041083.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1297262 + ... + 1297554.

Almost surely, 2380140544 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 380140544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438123504).

380140544 is an abundant number, since it is smaller than the sum of its proper divisors (496106464).

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

380140544 is a wasteful number, since it uses less digits than its factorization.

380140544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 380140544 is about 19497.1932338991. The cubic root of 380140544 is about 724.4049300199.

The spelling of 380140544 in words is "three hundred eighty million, one hundred forty thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 181 224 256 293 362 448 512 586 724 896 1024 1172 1267 1448 1792 2051 2344 2534 2896 3584 4102 4688 5068 5792 7168 8204 9376 10136 11584 16408 18752 20272 23168 32816 37504 40544 46336 53033 65632 75008 81088 92672 106066 131264 150016 162176 185344 212132 262528 300032 324352 371231 424264 525056 648704 742462 848528 1050112 1297408 1484924 1697056 2100224 2969848 3394112 5939696 6788224 11879392 13576448 23758784 27152896 47517568 54305792 95035136 190070272 380140544