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377134992 = 243213215497
BaseRepresentation
bin10110011110101…
…001111110010000
3222021122102221200
4112132221332100
51233021304432
6101231151200
712226410633
oct2636517620
9867572850
10377134992
11183979113
12a6375500
1360197100
1438131c1a
1523198a7c
hex167a9f90

377134992 has 90 divisors (see below), whose sum is σ = 1142962002. Its totient is φ = 116034048.

The previous prime is 377134981. The next prime is 377134997. The reversal of 377134992 is 299431773.

It can be written as a sum of positive squares in 3 ways, for example, as 34292736 + 342842256 = 5856^2 + 18516^2 .

It is not an unprimeable number, because it can be changed into a prime (377134997) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16588 + ... + 32084.

Almost surely, 2377134992 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 377134992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571481001).

377134992 is an abundant number, since it is smaller than the sum of its proper divisors (765827010).

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

377134992 is a wasteful number, since it uses less digits than its factorization.

377134992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15537 (or 15515 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 377134992 is about 19419.9637486788. The cubic root of 377134992 is about 722.4907256465.

The spelling of 377134992 in words is "three hundred seventy-seven million, one hundred thirty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 12168 15497 24336 30994 46491 61988 92982 123976 139473 185964 201461 247952 278946 371928 402922 557892 604383 743856 805844 1115784 1208766 1611688 1813149 2231568 2417532 2618993 3223376 3626298 4835064 5237986 7252596 7856979 9670128 10475972 14505192 15713958 20951944 23570937 29010384 31427916 41903888 47141874 62855832 94283748 125711664 188567496 377134992