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34441992 = 233213311187
BaseRepresentation
bin1000001101100…
…0101100001000
32101210211112100
42003120230020
532304120432
63230113400
7565515654
oct203305410
971724470
1034441992
1118494862
12b64b860
13719baa0
144807a64
15305507c
hex20d8b08

34441992 has 96 divisors (see below), whose sum is σ = 103783680. Its totient is φ = 10247040.

The previous prime is 34441991. The next prime is 34441993. The reversal of 34441992 is 29914443.

It is an interprime number because it is at equal distance from previous prime (34441991) and next prime (34441993).

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 not an unprimeable number, because it can be changed into a prime (34441991) 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, 28423 + ... + 29609.

It is an arithmetic number, because the mean of its divisors is an integer number (1081080).

Almost surely, 234441992 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 34441992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

34441992 is an abundant number, since it is smaller than the sum of its proper divisors (69341688).

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

34441992 is a wasteful number, since it uses less digits than its factorization.

34441992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1236 counting only the distinct ones).

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

The square root of 34441992 is about 5868.7300159404. The cubic root of 34441992 is about 325.3589470039.

The spelling of 34441992 in words is "thirty-four million, four hundred forty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 234 248 279 312 372 403 468 558 744 806 936 1116 1187 1209 1612 2232 2374 2418 3224 3561 3627 4748 4836 7122 7254 9496 9672 10683 14244 14508 15431 21366 28488 29016 30862 36797 42732 46293 61724 73594 85464 92586 110391 123448 138879 147188 185172 220782 277758 294376 331173 370344 441564 478361 555516 662346 883128 956722 1111032 1324692 1435083 1913444 2649384 2870166 3826888 4305249 5740332 8610498 11480664 17220996 34441992