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379709088 = 253111033491
BaseRepresentation
bin10110101000011…
…110011010100000
3222110111012221120
4112220132122200
51234201142323
6101402252240
712260321403
oct2650363240
9873435846
10379709088
11185377070
12a71b7080
1360888945
1438601d3a
15235065e3
hex16a1e6a0

379709088 has 96 divisors (see below), whose sum is σ = 1098220032. Its totient is φ = 113913600.

The previous prime is 379709027. The next prime is 379709101. The reversal of 379709088 is 880907973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 379709088.

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, 107023 + ... + 110513.

It is an arithmetic number, because the mean of its divisors is an integer number (11439792).

Almost surely, 2379709088 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 379709088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549110016).

379709088 is an abundant number, since it is smaller than the sum of its proper divisors (718510944).

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

379709088 is a wasteful number, since it uses less digits than its factorization.

379709088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The square root of 379709088 is about 19486.1255256144. The cubic root of 379709088 is about 724.1307619702.

The spelling of 379709088 in words is "three hundred seventy-nine million, seven hundred nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 103 132 176 206 264 309 352 412 528 618 824 1056 1133 1236 1648 2266 2472 3296 3399 3491 4532 4944 6798 6982 9064 9888 10473 13596 13964 18128 20946 27192 27928 36256 38401 41892 54384 55856 76802 83784 108768 111712 115203 153604 167568 230406 307208 335136 359573 460812 614416 719146 921624 1078719 1228832 1438292 1843248 2157438 2876584 3686496 3955303 4314876 5753168 7910606 8629752 11506336 11865909 15821212 17259504 23731818 31642424 34519008 47463636 63284848 94927272 126569696 189854544 379709088