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376380 = 223351741
BaseRepresentation
bin1011011111000111100
3201010022000
41123320330
544021010
612022300
73125214
oct1337074
9633260
10376380
11237864
12161990
13102414
149b244
15767c0
hex5be3c

376380 has 96 divisors (see below), whose sum is σ = 1270080. Its totient is φ = 92160.

The previous prime is 376373. The next prime is 376393. The reversal of 376380 is 83673.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9160 + ... + 9200.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2376380 is an apocalyptic number.

376380 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 376380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635040).

376380 is an abundant number, since it is smaller than the sum of its proper divisors (893700).

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

376380 is a wasteful number, since it uses less digits than its factorization.

376380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 376380 is about 613.4981662564. The cubic root of 376380 is about 72.2008282019.

The spelling of 376380 in words is "three hundred seventy-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 41 45 51 54 60 68 82 85 90 102 108 123 135 153 164 170 180 204 205 246 255 270 306 340 369 410 459 492 510 540 612 615 697 738 765 820 918 1020 1107 1230 1394 1476 1530 1836 1845 2091 2214 2295 2460 2788 3060 3485 3690 4182 4428 4590 5535 6273 6970 7380 8364 9180 10455 11070 12546 13940 18819 20910 22140 25092 31365 37638 41820 62730 75276 94095 125460 188190 376380