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380261040 = 24354336847
BaseRepresentation
bin10110101010100…
…101001010110000
3222111112021002020
4112222211022300
51234321323130
6101422151440
712265110525
oct2652451260
9874467066
10380261040
11185713825
12a7422580
1360a1cc43
143870714c
15235b4e10
hex16aa52b0

380261040 has 80 divisors (see below), whose sum is σ = 1206256128. Its totient is φ = 99042048.

The previous prime is 380261039. The next prime is 380261051. The reversal of 380261040 is 40162083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 380261040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8104 + ... + 28743.

Almost surely, 2380261040 is an apocalyptic number.

380261040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380261040 is an abundant number, since it is smaller than the sum of its proper divisors (825995088).

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

380261040 is a wasteful number, since it uses less digits than its factorization.

380261040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36906 (or 36900 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 380261040 is about 19500.2830748684. The cubic root of 380261040 is about 724.4814619559.

The spelling of 380261040 in words is "three hundred eighty million, two hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 36847 73694 110541 147388 184235 221082 294776 368470 442164 552705 589552 736940 884328 1105410 1473880 1584421 1768656 2210820 2947760 3168842 4421640 4753263 6337684 7922105 8843280 9506526 12675368 15844210 19013052 23766315 25350736 31688420 38026104 47532630 63376840 76052208 95065260 126753680 190130520 380261040