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376780320 = 25325737379
BaseRepresentation
bin10110011101010…
…011011000100000
3222020222102102200
4112131103120200
51232423432240
6101215413200
712223402620
oct2635233040
9866872380
10376780320
111837566a4
12a6224200
13600a1847
143807c880
1523128930
hex16753620

376780320 has 144 divisors (see below), whose sum is σ = 1469482560. Its totient is φ = 86118912.

The previous prime is 376780297. The next prime is 376780331. The reversal of 376780320 is 23087673.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 8610 + ... + 28769.

It is an arithmetic number, because the mean of its divisors is an integer number (10204740).

Almost surely, 2376780320 is an apocalyptic number.

376780320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376780320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734741280).

376780320 is an abundant number, since it is smaller than the sum of its proper divisors (1092702240).

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

376780320 is a wasteful number, since it uses less digits than its factorization.

376780320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37407 (or 37396 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 376780320 is about 19410.8299667995. The cubic root of 376780320 is about 722.2641687493.

The spelling of 376780320 in words is "three hundred seventy-six million, seven hundred eighty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 37379 74758 112137 149516 186895 224274 261653 299032 336411 373790 448548 523306 560685 598064 672822 747580 784959 897096 1046612 1121370 1196128 1308265 1345644 1495160 1569918 1682055 1794192 2093224 2242740 2354877 2616530 2691288 2990320 3139836 3364110 3588384 3924795 4186448 4485480 4709754 5233060 5382576 5980640 6279672 6728220 7849590 8372896 8970960 9419508 10466120 10765152 11774385 12559344 13456440 15699180 17941920 18839016 20932240 23548770 25118688 26912880 31398360 37678032 41864480 47097540 53825760 62796720 75356064 94195080 125593440 188390160 376780320