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112344696 = 233223179379
BaseRepresentation
bin1101011001000…
…11111001111000
321211101200221200
412230203321320
5212230012241
615051534200
72532625362
oct654437170
9254350850
10112344696
1158463262
123175a360
131a376669
1410cc5d32
159ce24b6
hex6b23e78

112344696 has 96 divisors (see below), whose sum is σ = 320112000. Its totient is φ = 35525952.

The previous prime is 112344689. The next prime is 112344703. The reversal of 112344696 is 696443211.

112344696 is a `hidden beast` number, since 1 + 123 + 446 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (112344689) and next prime (112344703).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 112344696.

It is a congruent number.

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, 296235 + ... + 296613.

It is an arithmetic number, because the mean of its divisors is an integer number (3334500).

Almost surely, 2112344696 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 112344696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160056000).

112344696 is an abundant number, since it is smaller than the sum of its proper divisors (207767304).

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

112344696 is a wasteful number, since it uses less digits than its factorization.

112344696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 586 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 112344696 is about 10599.2780886247. The cubic root of 112344696 is about 482.5224502069.

The spelling of 112344696 in words is "one hundred twelve million, three hundred forty-four thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 179 184 207 276 358 379 414 537 552 716 758 828 1074 1137 1432 1516 1611 1656 2148 2274 3032 3222 3411 4117 4296 4548 6444 6822 8234 8717 9096 12351 12888 13644 16468 17434 24702 26151 27288 32936 34868 37053 49404 52302 67841 69736 74106 78453 98808 104604 135682 148212 156906 203523 209208 271364 296424 313812 407046 542728 610569 627624 814092 1221138 1560343 1628184 2442276 3120686 4681029 4884552 6241372 9362058 12482744 14043087 18724116 28086174 37448232 56172348 112344696