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40346124 = 22371336947
BaseRepresentation
bin1001100111101…
…0001000001100
32210220210110220
42121322020030
540312033444
64000431340
7666636120
oct231721014
983823426
1040346124
1120857705
1211618550
138488260
145503580
15381e619
hex267a20c

40346124 has 48 divisors (see below), whose sum is σ = 115868928. Its totient is φ = 10640448.

The previous prime is 40346107. The next prime is 40346129. The reversal of 40346124 is 42164304.

It is a junction number, because it is equal to n+sod(n) for n = 40346094 and 40346103.

It is not an unprimeable number, because it can be changed into a prime (40346129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17382 + ... + 19565.

It is an arithmetic number, because the mean of its divisors is an integer number (2413936).

Almost surely, 240346124 is an apocalyptic number.

It is an amenable number.

40346124 is an abundant number, since it is smaller than the sum of its proper divisors (75522804).

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

40346124 is a wasteful number, since it uses less digits than its factorization.

40346124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36974 (or 36972 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 40346124 is about 6351.8598851045. The cubic root of 40346124 is about 342.9787972059.

It can be divided in two parts, 40346 and 124, that added together give a triangular number (40470 = T284).

The spelling of 40346124 in words is "forty million, three hundred forty-six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 36947 73894 110841 147788 221682 258629 443364 480311 517258 775887 960622 1034516 1440933 1551774 1921244 2881866 3103548 3362177 5763732 6724354 10086531 13448708 20173062 40346124