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376134440 = 235115914489
BaseRepresentation
bin10110011010110…
…101101100101000
3222012202121110012
4112122311230220
51232242300230
6101153511052
712215042603
oct2632655450
9865677405
10376134440
11183355410
12a5b72488
135cc06876
1437d5133a
152304c395
hex166b5b28

376134440 has 64 divisors (see below), whose sum is σ = 938952000. Its totient is φ = 134448640.

The previous prime is 376134413. The next prime is 376134461. The reversal of 376134440 is 44431673.

It is a super-2 number, since 2×3761344402 = 282954233908227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 376134397 and 376134406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18716 + ... + 33204.

It is an arithmetic number, because the mean of its divisors is an integer number (14671125).

Almost surely, 2376134440 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 376134440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469476000).

376134440 is an abundant number, since it is smaller than the sum of its proper divisors (562817560).

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

376134440 is a wasteful number, since it uses less digits than its factorization.

376134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14570 (or 14566 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 376134440 is about 19394.1857266553. The cubic root of 376134440 is about 721.8512289293.

The spelling of 376134440 in words is "three hundred seventy-six million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 88 110 118 220 236 295 440 472 590 649 1180 1298 2360 2596 3245 5192 6490 12980 14489 25960 28978 57956 72445 115912 144890 159379 289780 318758 579560 637516 796895 854851 1275032 1593790 1709702 3187580 3419404 4274255 6375160 6838808 8548510 9403361 17097020 18806722 34194040 37613444 47016805 75226888 94033610 188067220 376134440