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376141640 = 23572434463
BaseRepresentation
bin10110011010110…
…111011101001000
3222012202222022212
4112122313131020
51232243013030
6101154004252
712215102600
oct2632673510
9865688285
10376141640
1118335a866
12a5b76688
135cc09c24
1437d53c00
152304e595
hex166b7748

376141640 has 96 divisors (see below), whose sum is σ = 1007614080. Its totient is φ = 125935488.

The previous prime is 376141639. The next prime is 376141657. The reversal of 376141640 is 46141673.

It is a junction number, because it is equal to n+sod(n) for n = 376141597 and 376141606.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82049 + ... + 86511.

It is an arithmetic number, because the mean of its divisors is an integer number (10495980).

Almost surely, 2376141640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376141640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503807040).

376141640 is an abundant number, since it is smaller than the sum of its proper divisors (631472440).

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

376141640 is a wasteful number, since it uses less digits than its factorization.

376141640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4531 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 376141640 is about 19394.3713484093. The cubic root of 376141640 is about 721.8558348141.

The spelling of 376141640 in words is "three hundred seventy-six million, one hundred forty-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 49 56 70 86 98 140 172 196 215 245 280 301 344 392 430 490 602 860 980 1204 1505 1720 1960 2107 2408 3010 4214 4463 6020 8428 8926 10535 12040 16856 17852 21070 22315 31241 35704 42140 44630 62482 84280 89260 124964 156205 178520 191909 218687 249928 312410 383818 437374 624820 767636 874748 959545 1093435 1249640 1343363 1535272 1749496 1919090 2186870 2686726 3838180 4373740 5373452 6716815 7676360 8747480 9403541 10746904 13433630 18807082 26867260 37614164 47017705 53734520 75228328 94035410 188070820 376141640