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99933344 = 25721723163
BaseRepresentation
bin1011111010011…
…01110010100000
320222001010202222
411331031302200
5201040331334
613525530212
72322263600
oct575156240
9228033688
1099933344
1151456445
1229573968
131791c374
14d3b4c00
158b8ed2e
hex5f4dca0

99933344 has 144 divisors (see below), whose sum is σ = 254415168. Its totient is φ = 38320128.

The previous prime is 99933329. The next prime is 99933347. The reversal of 99933344 is 44333999.

It is a happy number.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 99933295 and 99933304.

It is not an unprimeable number, because it can be changed into a prime (99933347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613007 + ... + 613169.

It is an arithmetic number, because the mean of its divisors is an integer number (1766772).

Almost surely, 299933344 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 99933344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127207584).

99933344 is an abundant number, since it is smaller than the sum of its proper divisors (154481824).

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

99933344 is a wasteful number, since it uses less digits than its factorization.

99933344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 212 counting only the distinct ones).

The product of its digits is 314928, while the sum is 44.

The square root of 99933344 is about 9996.6666444370. Note that the first 4 decimals coincide. The cubic root of 99933344 is about 464.0557305236.

It can be divided in two parts, 999 and 33344, that added together give a palindrome (34343).

The spelling of 99933344 in words is "ninety-nine million, nine hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 23 28 32 34 46 49 56 68 92 98 112 119 136 161 163 184 196 224 238 272 322 326 368 391 392 476 544 644 652 736 782 784 833 952 1127 1141 1288 1304 1564 1568 1666 1904 2254 2282 2576 2608 2737 2771 3128 3332 3749 3808 4508 4564 5152 5216 5474 5542 6256 6664 7498 7987 9016 9128 10948 11084 12512 13328 14996 15974 18032 18256 19159 19397 21896 22168 26243 26656 29992 31948 36064 36512 38318 38794 43792 44336 52486 59984 63733 63896 76636 77588 87584 88672 104972 119968 127466 127792 135779 153272 155176 183701 209944 254932 255584 271558 306544 310352 367402 419888 446131 509864 543116 613088 620704 734804 839776 892262 1019728 1086232 1469608 1784524 2039456 2172464 2939216 3122917 3569048 4344928 5878432 6245834 7138096 12491668 14276192 24983336 49966672 99933344