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381593340 = 2232519111577
BaseRepresentation
bin10110101111101…
…010011011111100
3222121000221122200
4112233222123330
51240141441330
6101510511500
712312330012
oct2657523374
9877027580
10381593340
111864437a7
12a7965590
136109849b
14389728b2
1523779a60
hex16bea6fc

381593340 has 72 divisors (see below), whose sum is σ = 1218431760. Its totient is φ = 96401664.

The previous prime is 381593327. The next prime is 381593357. The reversal of 381593340 is 43395183.

381593340 is a `hidden beast` number, since 38 + 1 + 593 + 34 + 0 = 666.

It is a super-2 number, since 2×3815933402 = 291226954264711200, 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 = 381593295 and 381593304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52369 + ... + 59208.

Almost surely, 2381593340 is an apocalyptic number.

381593340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381593340 is an abundant number, since it is smaller than the sum of its proper divisors (836838420).

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

381593340 is a wasteful number, since it uses less digits than its factorization.

381593340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111611 (or 111606 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 381593340 is about 19534.4142476809. The cubic root of 381593340 is about 725.3265845328.

The spelling of 381593340 in words is "three hundred eighty-one million, five hundred ninety-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 111577 223154 334731 446308 557885 669462 1004193 1115770 1338924 1673655 2008386 2119963 2231540 3347310 4016772 4239926 5020965 6359889 6694620 8479852 10041930 10599815 12719778 19079667 20083860 21199630 25439556 31799445 38159334 42399260 63598890 76318668 95398335 127197780 190796670 381593340