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376049664 = 212321012
BaseRepresentation
bin10110011010100…
…001000000000000
3222012121022011100
4112122201000000
51232232042124
6101152014400
712214240464
oct2632410000
9865538140
10376049664
111832a7751
12a5b31400
135cba70c3
1437d2c4a4
15230321c9
hex166a1000

376049664 has 117 divisors (see below), whose sum is σ = 1097094349. Its totient is φ = 124108800.

The previous prime is 376049629. The next prime is 376049669. The reversal of 376049664 is 466940673.

The square root of 376049664 is 19392.

It is a perfect power (a square), and thus also a powerful number.

376049664 is a `hidden beast` number, since 37 + 604 + 9 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 361304064 + 14745600 = 19008^2 + 3840^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (376049669) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3723214 + ... + 3723314.

Almost surely, 2376049664 is an apocalyptic number.

376049664 is the 19392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376049664

376049664 is an abundant number, since it is smaller than the sum of its proper divisors (721044685).

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

376049664 is an equidigital number, since it uses as much as digits as its factorization.

376049664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The cubic root of 376049664 is about 721.7969927738.

The spelling of 376049664 in words is "three hundred seventy-six million, forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 128 144 192 202 256 288 303 384 404 512 576 606 768 808 909 1024 1152 1212 1536 1616 1818 2048 2304 2424 3072 3232 3636 4096 4608 4848 6144 6464 7272 9216 9696 10201 12288 12928 14544 18432 19392 20402 25856 29088 30603 36864 38784 40804 51712 58176 61206 77568 81608 91809 103424 116352 122412 155136 163216 183618 206848 232704 244824 310272 326432 367236 413696 465408 489648 620544 652864 734472 930816 979296 1241088 1305728 1468944 1861632 1958592 2611456 2937888 3723264 3917184 5222912 5875776 7834368 10445824 11751552 15668736 20891648 23503104 31337472 41783296 47006208 62674944 94012416 125349888 188024832 376049664