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376441680 = 243519312663
BaseRepresentation
bin10110011100000…
…000101101010000
3222020100012220110
4112130000231100
51232332113210
6101204241320
712220462416
oct2634005520
9866305813
10376441680
1118354522a
12a60a0240
135ccb3674
1437dd12b6
15230ad420
hex16700b50

376441680 has 160 divisors (see below), whose sum is σ = 1268490240. Its totient is φ = 91998720.

The previous prime is 376441643. The next prime is 376441691. The reversal of 376441680 is 86144673.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140029 + ... + 142691.

It is an arithmetic number, because the mean of its divisors is an integer number (7928064).

Almost surely, 2376441680 is an apocalyptic number.

376441680 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 376441680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634245120).

376441680 is an abundant number, since it is smaller than the sum of its proper divisors (892048560).

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

376441680 is a wasteful number, since it uses less digits than its factorization.

376441680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 376441680 is about 19402.1050404331. The cubic root of 376441680 is about 722.0477200320.

The spelling of 376441680 in words is "three hundred seventy-six million, four hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 31 38 40 48 57 60 62 76 80 93 95 114 120 124 152 155 186 190 228 240 248 285 304 310 372 380 456 465 496 570 589 620 744 760 912 930 1140 1178 1240 1488 1520 1767 1860 2280 2356 2480 2663 2945 3534 3720 4560 4712 5326 5890 7068 7440 7989 8835 9424 10652 11780 13315 14136 15978 17670 21304 23560 26630 28272 31956 35340 39945 42608 47120 50597 53260 63912 70680 79890 82553 101194 106520 127824 141360 151791 159780 165106 202388 213040 247659 252985 303582 319560 330212 404776 412765 495318 505970 607164 639120 660424 758955 809552 825530 990636 1011940 1214328 1238295 1320848 1517910 1568507 1651060 1981272 2023880 2428656 2476590 3035820 3137014 3302120 3962544 4047760 4705521 4953180 6071640 6274028 6604240 7842535 9411042 9906360 12143280 12548056 15685070 18822084 19812720 23527605 25096112 31370140 37644168 47055210 62740280 75288336 94110420 125480560 188220840 376441680