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379334088 = 233272195659
BaseRepresentation
bin10110100111000…
…010110111001000
3222102210011112200
4112213002313020
51234102142323
6101350240200
712254200200
oct2647026710
9872704480
10379334088
11185140351
12a7056060
1360787053
1438545400
1523480443
hex169c2dc8

379334088 has 144 divisors (see below), whose sum is σ = 1258218000. Its totient is φ = 102658752.

The previous prime is 379334077. The next prime is 379334167. The reversal of 379334088 is 880433973.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64203 + ... + 69861.

It is an arithmetic number, because the mean of its divisors is an integer number (8737625).

Almost surely, 2379334088 is an apocalyptic number.

379334088 is a gapful number since it is divisible by the number (38) 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 379334088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629109000).

379334088 is an abundant number, since it is smaller than the sum of its proper divisors (878883912).

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

379334088 is a wasteful number, since it uses less digits than its factorization.

379334088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5704 (or 5690 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 379334088 is about 19476.5009177727. The cubic root of 379334088 is about 723.8923000466.

The spelling of 379334088 in words is "three hundred seventy-nine million, three hundred thirty-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 49 56 57 63 72 76 84 98 114 126 133 147 152 168 171 196 228 252 266 294 342 392 399 441 456 504 532 588 684 798 882 931 1064 1176 1197 1368 1596 1764 1862 2394 2793 3192 3528 3724 4788 5586 5659 7448 8379 9576 11172 11318 16758 16977 22344 22636 33516 33954 39613 45272 50931 67032 67908 79226 101862 107521 118839 135816 158452 203724 215042 237678 277291 316904 322563 356517 407448 430084 475356 554582 645126 713034 752647 831873 860168 950712 967689 1109164 1290252 1426068 1505294 1663746 1935378 2218328 2257941 2495619 2580504 2852136 3010588 3327492 3870756 4515882 4991238 5268529 6021176 6654984 6773823 7741512 9031764 9982476 10537058 13547646 15805587 18063528 19964952 21074116 27095292 31611174 42148232 47416761 54190584 63222348 94833522 126444696 189667044 379334088