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379230336 = 273479463
BaseRepresentation
bin10110100110101…
…001100010000000
3222102120220020000
4112212221202000
51234040332321
6101344120000
712253255542
oct2646514200
9872526200
10379230336
1118507a401
12a7006000
136074ba64
1438519692
152345e826
hex169a9880

379230336 has 160 divisors (see below), whose sum is σ = 1145337600. Its totient is φ = 124540416.

The previous prime is 379230331. The next prime is 379230337. The reversal of 379230336 is 633032973.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 379230336.

It is not an unprimeable number, because it can be changed into a prime (379230331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 818841 + ... + 819303.

It is an arithmetic number, because the mean of its divisors is an integer number (7158360).

Almost surely, 2379230336 is an apocalyptic number.

379230336 is a gapful number since it is divisible by the number (36) 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 379230336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572668800).

379230336 is an abundant number, since it is smaller than the sum of its proper divisors (766107264).

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

379230336 is an equidigital number, since it uses as much as digits as its factorization.

379230336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 36.

The square root of 379230336 is about 19473.8372181756. The cubic root of 379230336 is about 723.8262965554.

The spelling of 379230336 in words is "three hundred seventy-nine million, two hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 81 96 108 128 144 158 162 192 216 237 288 316 324 384 432 463 474 576 632 648 711 864 926 948 1152 1264 1296 1389 1422 1728 1852 1896 2133 2528 2592 2778 2844 3456 3704 3792 4167 4266 5056 5184 5556 5688 6399 7408 7584 8334 8532 10112 10368 11112 11376 12501 12798 14816 15168 16668 17064 22224 22752 25002 25596 29632 30336 33336 34128 36577 37503 44448 45504 50004 51192 59264 66672 68256 73154 75006 88896 91008 100008 102384 109731 133344 136512 146308 150012 177792 200016 204768 219462 266688 273024 292616 300024 329193 400032 409536 438924 533376 585232 600048 658386 800064 819072 877848 987579 1170464 1200096 1316772 1600128 1755696 1975158 2340928 2400192 2633544 2962737 3511392 3950316 4681856 4800384 5267088 5925474 7022784 7900632 10534176 11850948 14045568 15801264 21068352 23701896 31602528 42136704 47403792 63205056 94807584 126410112 189615168 379230336