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381104370 = 232529151967
BaseRepresentation
bin10110101101110…
…011000011110010
3222120010002220200
4112231303003302
51240030314440
6101452220030
712305222313
oct2655630362
9876102820
10381104370
1118613a399
12a776a616
1360c56a5a
143888660a
15236cec30
hex16b730f2

381104370 has 96 divisors (see below), whose sum is σ = 1032894720. Its totient is φ = 97372800.

The previous prime is 381104363. The next prime is 381104371. The reversal of 381104370 is 73401183.

It is not an unprimeable number, because it can be changed into a prime (381104371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393627 + ... + 394593.

It is an arithmetic number, because the mean of its divisors is an integer number (10759320).

Almost surely, 2381104370 is an apocalyptic number.

381104370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 381104370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516447360).

381104370 is an abundant number, since it is smaller than the sum of its proper divisors (651790350).

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

381104370 is a wasteful number, since it uses less digits than its factorization.

381104370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 381104370 is about 19521.8946314132. The cubic root of 381104370 is about 725.0166432961.

The spelling of 381104370 in words is "three hundred eighty-one million, one hundred four thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 151 174 261 290 302 435 453 522 755 870 906 967 1305 1359 1510 1934 2265 2610 2718 2901 4379 4530 4835 5802 6795 8703 8758 9670 13137 13590 14505 17406 21895 26274 28043 29010 39411 43515 43790 56086 65685 78822 84129 87030 131370 140215 146017 168258 197055 252387 280430 292034 394110 420645 438051 504774 730085 841290 876102 1261935 1314153 1460170 2190255 2523870 2628306 4234493 4380510 6570765 8468986 12703479 13141530 21172465 25406958 38110437 42344930 63517395 76220874 127034790 190552185 381104370