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40814304 = 253425149
BaseRepresentation
bin1001101110110…
…0011011100000
32211210120200220
42123230123200
540422024204
64014443040
71003626066
oct233543340
984716626
1040814304
1121047433
1211803480
1385c039b
1455c6036
1538b31d9
hex26ec6e0

40814304 has 24 divisors (see below), whose sum is σ = 107137800. Its totient is φ = 13604736.

The previous prime is 40814273. The next prime is 40814317. The reversal of 40814304 is 40341804.

40814304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×408143042 = 3331614822008832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 212479 + ... + 212670.

It is an arithmetic number, because the mean of its divisors is an integer number (4464075).

Almost surely, 240814304 is an apocalyptic number.

It is an amenable number.

40814304 is an abundant number, since it is smaller than the sum of its proper divisors (66323496).

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

40814304 is a wasteful number, since it uses less digits than its factorization.

40814304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425162 (or 425154 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 40814304 is about 6388.6073599807. The cubic root of 40814304 is about 344.3003506278.

It can be divided in two parts, 4081 and 4304, that added together give a triangular number (8385 = T129).

The spelling of 40814304 in words is "forty million, eight hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 425149 850298 1275447 1700596 2550894 3401192 5101788 6802384 10203576 13604768 20407152 40814304