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373948680 = 233573371321
BaseRepresentation
bin10110010010100…
…000000100001000
3222001122120011010
4112102200010020
51231212324210
6101035003520
712160340250
oct2622400410
9861576133
10373948680
111820a21a6
12a52995a0
135c61ca11
1437942960
1522c69920
hex164a0108

373948680 has 128 divisors (see below), whose sum is σ = 1286887680. Its totient is φ = 85155840.

The previous prime is 373948657. The next prime is 373948681. The reversal of 373948680 is 86849373.

373948680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (373948681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282420 + ... + 283740.

It is an arithmetic number, because the mean of its divisors is an integer number (10053810).

Almost surely, 2373948680 is an apocalyptic number.

373948680 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 373948680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643443840).

373948680 is an abundant number, since it is smaller than the sum of its proper divisors (912939000).

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

373948680 is a wasteful number, since it uses less digits than its factorization.

373948680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 373948680 is about 19337.7527132808. The cubic root of 373948680 is about 720.4502584916.

The spelling of 373948680 in words is "three hundred seventy-three million, nine hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 337 420 674 840 1011 1321 1348 1685 2022 2359 2642 2696 3370 3963 4044 4718 5055 5284 6605 6740 7077 7926 8088 9247 9436 10110 10568 11795 13210 13480 14154 15852 18494 18872 19815 20220 23590 26420 27741 28308 31704 35385 36988 39630 40440 46235 47180 52840 55482 56616 70770 73976 79260 92470 94360 110964 138705 141540 158520 184940 221928 277410 283080 369880 445177 554820 890354 1109640 1335531 1780708 2225885 2671062 3116239 3561416 4451770 5342124 6232478 6677655 8903540 9348717 10684248 12464956 13355310 15581195 17807080 18697434 24929912 26710620 31162390 37394868 46743585 53421240 62324780 74789736 93487170 124649560 186974340 373948680