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381049344 = 2932136361
BaseRepresentation
bin10110101101100…
…101101000000000
3222120000022102200
4112231211220000
51240022034334
6101451113200
712304603014
oct2655455000
9876008380
10381049344
11186102015
12a7742800
1360c379b0
1438870544
15236bd799
hex16b65a00

381049344 has 120 divisors (see below), whose sum is σ = 1184515332. Its totient is φ = 117227520.

The previous prime is 381049343. The next prime is 381049369. The reversal of 381049344 is 443940183.

It can be written as a sum of positive squares in 2 ways, for example, as 341510400 + 39538944 = 18480^2 + 6288^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 381049299 and 381049308.

It is not an unprimeable number, because it can be changed into a prime (381049343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56724 + ... + 63084.

Almost surely, 2381049344 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 381049344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592257666).

381049344 is an abundant number, since it is smaller than the sum of its proper divisors (803465988).

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

381049344 is a wasteful number, since it uses less digits than its factorization.

381049344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6398 (or 6379 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 381049344 is about 19520.4852398704. The cubic root of 381049344 is about 724.9817476182.

The spelling of 381049344 in words is "three hundred eighty-one million, forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3744 4608 4992 6361 6656 7488 9984 12722 14976 19083 19968 25444 29952 38166 50888 57249 59904 76332 82693 101776 114498 152664 165386 203552 228996 248079 305328 330772 407104 457992 496158 610656 661544 744237 814208 915984 992316 1221312 1323088 1488474 1628416 1831968 1984632 2442624 2646176 2976948 3256832 3663936 3969264 4885248 5292352 5953896 7327872 7938528 9770496 10584704 11907792 14655744 15877056 21169408 23815584 29311488 31754112 42338816 47631168 63508224 95262336 127016448 190524672 381049344