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379430912 = 2117219199
BaseRepresentation
bin10110100111011…
…010100000000000
3222102222002100202
4112213122200000
51234113242122
6101352304332
712255052400
oct2647324000
9872862322
10379430912
111851a7073
12a70a20a8
13607bc143
143856c800
152349de92
hex169da800

379430912 has 144 divisors (see below), whose sum is σ = 933660000. Its totient is φ = 153280512.

The previous prime is 379430899. The next prime is 379430921. The reversal of 379430912 is 219034973.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1906589 + ... + 1906787.

It is an arithmetic number, because the mean of its divisors is an integer number (6483750).

Almost surely, 2379430912 is an apocalyptic number.

379430912 is a gapful number since it is divisible by the number (32) 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 379430912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466830000).

379430912 is an abundant number, since it is smaller than the sum of its proper divisors (554229088).

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

379430912 is a wasteful number, since it uses less digits than its factorization.

379430912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 379430912 is about 19478.9864212695. The cubic root of 379430912 is about 723.9538853243.

The spelling of 379430912 in words is "three hundred seventy-nine million, four hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 128 133 152 196 199 224 256 266 304 392 398 448 512 532 608 784 796 896 931 1024 1064 1216 1393 1568 1592 1792 1862 2048 2128 2432 2786 3136 3184 3584 3724 3781 4256 4864 5572 6272 6368 7168 7448 7562 8512 9728 9751 11144 12544 12736 14336 14896 15124 17024 19456 19502 22288 25088 25472 26467 29792 30248 34048 38912 39004 44576 50176 50944 52934 59584 60496 68096 78008 89152 100352 101888 105868 119168 120992 136192 156016 178304 185269 203776 211736 238336 241984 272384 312032 356608 370538 407552 423472 476672 483968 624064 713216 741076 846944 953344 967936 1248128 1426432 1482152 1693888 1906688 1935872 2496256 2852864 2964304 3387776 3871744 4992512 5928608 6775552 7743488 9985024 11857216 13551104 19970048 23714432 27102208 47428864 54204416 94857728 189715456 379430912