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40314024 = 233462213
BaseRepresentation
bin1001100111001…
…0010010101000
32210212011110000
42121302102220
540310022044
64000023000
7666443412
oct231622250
983764400
1040314024
1120835583
1211601a60
13847676a
1454d59b2
153814d69
hex26724a8

40314024 has 40 divisors (see below), whose sum is σ = 112918410. Its totient is φ = 13437792.

The previous prime is 40314023. The next prime is 40314041. The reversal of 40314024 is 42041304.

It can be written as a sum of positive squares in only one way, i.e., 39917124 + 396900 = 6318^2 + 630^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40313988 and 40314006.

It is not an unprimeable number, because it can be changed into a prime (40314023) 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 9 ways as a sum of consecutive naturals, for example, 30459 + ... + 31754.

Almost surely, 240314024 is an apocalyptic number.

It is an amenable number.

40314024 is an abundant number, since it is smaller than the sum of its proper divisors (72604386).

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

40314024 is a wasteful number, since it uses less digits than its factorization.

40314024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62231 (or 62218 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40314024 is about 6349.3325633487. The cubic root of 40314024 is about 342.8878133277.

Adding to 40314024 its reverse (42041304), we get a palindrome (82355328).

The spelling of 40314024 in words is "forty million, three hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 62213 124426 186639 248852 373278 497704 559917 746556 1119834 1493112 1679751 2239668 3359502 4479336 5039253 6719004 10078506 13438008 20157012 40314024