Search a number
-
+
377999664 = 243723411193
BaseRepresentation
bin10110100001111…
…101000100110000
3222100021101001120
4112201331010300
51233231442124
6101301502240
712236641560
oct2641750460
9870241046
10377999664
11184409819
12a6711980
136040a853
14382b8da0
15232b9d79
hex1687d130

377999664 has 160 divisors (see below), whose sum is σ = 1193923584. Its totient is φ = 100700160.

The previous prime is 377999653. The next prime is 377999681. The reversal of 377999664 is 466999773.

It is a super-2 number, since 2×3779996642 = 285767491968225792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 377999598 and 377999607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316252 + ... + 317444.

Almost surely, 2377999664 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 377999664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596961792).

377999664 is an abundant number, since it is smaller than the sum of its proper divisors (815923920).

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

377999664 is a wasteful number, since it uses less digits than its factorization.

377999664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1269 counting only the distinct ones).

The product of its digits is 15431472, while the sum is 60.

The square root of 377999664 is about 19442.2134542341. The cubic root of 377999664 is about 723.0424650176.

The spelling of 377999664 in words is "three hundred seventy-seven million, nine hundred ninety-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 41 42 46 48 56 69 82 84 92 112 123 138 161 164 168 184 246 276 287 322 328 336 368 483 492 552 574 644 656 861 943 966 984 1104 1148 1193 1288 1722 1886 1932 1968 2296 2386 2576 2829 3444 3579 3772 3864 4592 4772 5658 6601 6888 7158 7544 7728 8351 9544 11316 13202 13776 14316 15088 16702 19088 19803 22632 25053 26404 27439 28632 33404 39606 45264 48913 50106 52808 54878 57264 66808 79212 82317 97826 100212 105616 109756 133616 146739 158424 164634 192073 195652 200424 219512 293478 316848 329268 342391 384146 391304 400848 439024 576219 586956 658536 684782 768292 782608 1027173 1124999 1152438 1173912 1317072 1369564 1536584 2054346 2249998 2304876 2347824 2739128 3073168 3374997 4108692 4499996 4609752 5478256 6749994 7874993 8217384 8999992 9219504 13499988 15749986 16434768 17999984 23624979 26999976 31499972 47249958 53999952 62999944 94499916 125999888 188999832 377999664