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376761640 = 235191034813
BaseRepresentation
bin10110011101001…
…110110100101000
3222020221110210211
4112131032310220
51232422333030
6101215150504
712223264303
oct2635166450
9866843724
10376761640
11183743662
12a6215434
13600961a8
1438075b3a
152312312a
hex1674ed28

376761640 has 64 divisors (see below), whose sum is σ = 901180800. Its totient is φ = 141357312.

The previous prime is 376761607. The next prime is 376761647. The reversal of 376761640 is 46167673.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 376761593 and 376761602.

It is not an unprimeable number, because it can be changed into a prime (376761647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75874 + ... + 80686.

It is an arithmetic number, because the mean of its divisors is an integer number (14080950).

Almost surely, 2376761640 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 376761640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450590400).

376761640 is an abundant number, since it is smaller than the sum of its proper divisors (524419160).

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

376761640 is a wasteful number, since it uses less digits than its factorization.

376761640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4946 (or 4942 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The square root of 376761640 is about 19410.3487861501. The cubic root of 376761640 is about 722.2522324238.

The spelling of 376761640 in words is "three hundred seventy-six million, seven hundred sixty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 103 152 190 206 380 412 515 760 824 1030 1957 2060 3914 4120 4813 7828 9626 9785 15656 19252 19570 24065 38504 39140 48130 78280 91447 96260 182894 192520 365788 457235 495739 731576 914470 991478 1828940 1982956 2478695 3657880 3965912 4957390 9419041 9914780 18838082 19829560 37676164 47095205 75352328 94190410 188380820 376761640