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376144938 = 233131928201
BaseRepresentation
bin10110011010111…
…000010000101010
3222012210010212000
4112122320100222
51232243114223
6101154031430
712215115321
oct2632702052
9865703760
10376144938
11183362294
12a5b78576
135cc0b590
1437d550b8
1523050543
hex166b842a

376144938 has 64 divisors (see below), whose sum is σ = 947587200. Its totient is φ = 109641600.

The previous prime is 376144931. The next prime is 376144963. The reversal of 376144938 is 839441673.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 376144893 and 376144902.

It is not an unprimeable number, because it can be changed into a prime (376144931) by changing a digit.

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, 763 + ... + 27438.

It is an arithmetic number, because the mean of its divisors is an integer number (14806050).

Almost surely, 2376144938 is an apocalyptic number.

376144938 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 376144938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473793600).

376144938 is an abundant number, since it is smaller than the sum of its proper divisors (571442262).

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

376144938 is a wasteful number, since it uses less digits than its factorization.

376144938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28244 (or 28238 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 376144938 is about 19394.4563728917. The cubic root of 376144938 is about 721.8579445456.

The spelling of 376144938 in words is "three hundred seventy-six million, one hundred forty-four thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1026 1482 2223 4446 6669 13338 28201 56402 84603 169206 253809 366613 507618 535819 733226 761427 1071638 1099839 1522854 1607457 2199678 3214914 3299517 4822371 6599034 6965647 9644742 9898551 13931294 14467113 19797102 20896941 28934226 41793882 62690823 125381646 188072469 376144938