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376898880 = 2635419937
BaseRepresentation
bin10110011101110…
…000010101000000
3222021012110001210
4112131300111000
51232441231010
6101222130120
712224405361
oct2635602500
9867173053
10376898880
11183827786
12a6280940
13601137b7
14380adb68
152314db20
hex16770540

376898880 has 112 divisors (see below), whose sum is σ = 1200790080. Its totient is φ = 100159488.

The previous prime is 376898849. The next prime is 376898881. The reversal of 376898880 is 88898673.

376898880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 376898880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376898881) 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, 401772 + ... + 402708.

It is an arithmetic number, because the mean of its divisors is an integer number (10721340).

Almost surely, 2376898880 is an apocalyptic number.

376898880 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 376898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600395040).

376898880 is an abundant number, since it is smaller than the sum of its proper divisors (823891200).

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

376898880 is a wasteful number, since it uses less digits than its factorization.

376898880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The square root of 376898880 is about 19413.8836918325. The cubic root of 376898880 is about 722.3399181583.

The spelling of 376898880 in words is "three hundred seventy-six million, eight hundred ninety-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 419 480 838 937 960 1257 1676 1874 2095 2514 2811 3352 3748 4190 4685 5028 5622 6285 6704 7496 8380 9370 10056 11244 12570 13408 14055 14992 16760 18740 20112 22488 25140 26816 28110 29984 33520 37480 40224 44976 50280 56220 59968 67040 74960 80448 89952 100560 112440 134080 149920 179904 201120 224880 299840 392603 402240 449760 785206 899520 1177809 1570412 1963015 2355618 3140824 3926030 4711236 5889045 6281648 7852060 9422472 11778090 12563296 15704120 18844944 23556180 25126592 31408240 37689888 47112360 62816480 75379776 94224720 125632960 188449440 376898880