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381813444 = 2232179193307
BaseRepresentation
bin10110110000100…
…000001011000100
3222121110010120200
4112300200023010
51240221012234
6101515330500
712314234505
oct2660401304
9877403520
10381813444
11186584101
12a7a50a30
136114471c
14389ccbac
15237bed99
hex16c202c4

381813444 has 72 divisors (see below), whose sum is σ = 978737760. Its totient is φ = 125494272.

The previous prime is 381813427. The next prime is 381813461. The reversal of 381813444 is 444318183.

381813444 is a `hidden beast` number, since 38 + 181 + 3 + 444 = 666.

381813444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (381813427) and next prime (381813461).

It is a super-2 number, since 2×3818134442 = 291563012038282272, which contains 22 as substring.

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 = 381813399 and 381813408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1243539 + ... + 1243845.

It is an arithmetic number, because the mean of its divisors is an integer number (13593580).

Almost surely, 2381813444 is an apocalyptic number.

It is an amenable number.

381813444 is an abundant number, since it is smaller than the sum of its proper divisors (596924316).

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

381813444 is a wasteful number, since it uses less digits than its factorization.

381813444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 684 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 381813444 is about 19540.0471852040. The cubic root of 381813444 is about 725.4660144623.

The spelling of 381813444 in words is "three hundred eighty-one million, eight hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 179 193 307 358 386 537 579 614 716 772 921 1074 1158 1228 1611 1737 1842 2148 2316 2763 3222 3474 3684 5526 6444 6948 11052 34547 54953 59251 69094 103641 109906 118502 138188 164859 177753 207282 219812 237004 310923 329718 355506 414564 494577 533259 621846 659436 711012 989154 1066518 1243692 1978308 2133036 10605929 21211858 31817787 42423716 63635574 95453361 127271148 190906722 381813444