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379325568 = 27323291481
BaseRepresentation
bin10110100111000…
…000110010000000
3222102202201212010
4112213000302000
51234101404233
6101350132520
712254133306
oct2647006200
9872681763
10379325568
11185134a06
12a7051140
13607831cb
1438542276
152347cb63
hex169c0c80

379325568 has 128 divisors (see below), whose sum is σ = 1088380800. Its totient is φ = 116695040.

The previous prime is 379325567. The next prime is 379325587. The reversal of 379325568 is 865523973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (379325567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255388 + ... + 256868.

It is an arithmetic number, because the mean of its divisors is an integer number (8502975).

Almost surely, 2379325568 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 379325568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544190400).

379325568 is an abundant number, since it is smaller than the sum of its proper divisors (709055232).

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

379325568 is a wasteful number, since it uses less digits than its factorization.

379325568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1538 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 48.

The square root of 379325568 is about 19476.2821914245. The cubic root of 379325568 is about 723.8868803662.

The spelling of 379325568 in words is "three hundred seventy-nine million, three hundred twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 116 128 138 174 184 192 232 276 348 368 384 464 552 667 696 736 928 1104 1334 1392 1472 1481 1856 2001 2208 2668 2784 2944 2962 3712 4002 4416 4443 5336 5568 5924 8004 8832 8886 10672 11136 11848 16008 17772 21344 23696 32016 34063 35544 42688 42949 47392 64032 68126 71088 85376 85898 94784 102189 128064 128847 136252 142176 171796 189568 204378 256128 257694 272504 284352 343592 408756 515388 545008 568704 687184 817512 987827 1030776 1090016 1374368 1635024 1975654 2061552 2180032 2748736 2963481 3270048 3951308 4123104 4360064 5497472 5926962 6540096 7902616 8246208 11853924 13080192 15805232 16492416 23707848 31610464 47415696 63220928 94831392 126441856 189662784 379325568