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381635112 = 233471931753
BaseRepresentation
bin10110101111110…
…100101000101000
3222121010001221210
4112233310220220
51240144310422
6101511433120
712312562545
oct2657645050
9877101853
10381635112
11186472121
12a79857a0
13610b14c1
1438983bcc
152378710c
hex16bf4a28

381635112 has 64 divisors (see below), whose sum is σ = 979994880. Its totient is φ = 123789312.

The previous prime is 381635101. The next prime is 381635117. The reversal of 381635112 is 211536183.

It is a super-2 number, since 2×3816351122 = 291290717422505088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 381635112.

It is not an unprimeable number, because it can be changed into a prime (381635117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216828 + ... + 218580.

It is an arithmetic number, because the mean of its divisors is an integer number (15312420).

Almost surely, 2381635112 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 381635112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489997440).

381635112 is an abundant number, since it is smaller than the sum of its proper divisors (598359768).

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

381635112 is a wasteful number, since it uses less digits than its factorization.

381635112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1998 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 381635112 is about 19535.4834084033. The cubic root of 381635112 is about 725.3530500861.

The spelling of 381635112 in words is "three hundred eighty-one million, six hundred thirty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 193 282 376 386 564 579 772 1128 1158 1544 1753 2316 3506 4632 5259 7012 9071 10518 14024 18142 21036 27213 36284 42072 54426 72568 82391 108852 164782 217704 247173 329564 338329 494346 659128 676658 988692 1014987 1353316 1977384 2029974 2706632 4059948 8119896 15901463 31802926 47704389 63605852 95408778 127211704 190817556 381635112