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345183036 = 223119726959
BaseRepresentation
bin10100100100110…
…001001100111100
3220001112010002220
4110210301030330
51201331324121
654130245340
711361002352
oct2444611474
9801463086
10345183036
11167935140
1297726850
135668a823
1433bb57d2
15204866c6
hex1493133c

345183036 has 48 divisors (see below), whose sum is σ = 887738880. Its totient is φ = 103518720.

The previous prime is 345183017. The next prime is 345183037. The reversal of 345183036 is 630381543.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 345182988 and 345183006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345183037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 676 + ... + 26283.

It is an arithmetic number, because the mean of its divisors is an integer number (18494560).

Almost surely, 2345183036 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 345183036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443869440).

345183036 is an abundant number, since it is smaller than the sum of its proper divisors (542555844).

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

345183036 is a wasteful number, since it uses less digits than its factorization.

345183036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27074 (or 27072 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 345183036 is about 18579.1021311580. The cubic root of 345183036 is about 701.4819190267.

It can be divided in two parts, 345 and 183036, that added together give a palindrome (183381).

The spelling of 345183036 in words is "three hundred forty-five million, one hundred eighty-three thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 291 388 582 1067 1164 2134 3201 4268 6402 12804 26959 53918 80877 107836 161754 296549 323508 593098 889647 1186196 1779294 2615023 3558588 5230046 7845069 10460092 15690138 28765253 31380276 57530506 86295759 115061012 172591518 345183036