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240323664 = 2437715249
BaseRepresentation
bin11100101001100…
…00110001010000
3121202012201002110
432110300301100
5443010324124
635502545320
75645501040
oct1624606120
9552181073
10240323664
111137247a9
1268598240
133aa35269
1423cbb720
1516172029
hexe530c50

240323664 has 40 divisors (see below), whose sum is σ = 709528000. Its totient is φ = 68663808.

The previous prime is 240323659. The next prime is 240323669. The reversal of 240323664 is 466323042.

It is a happy number.

240323664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (240323659) and next prime (240323669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240323669) 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 7 ways as a sum of consecutive naturals, for example, 357289 + ... + 357960.

It is an arithmetic number, because the mean of its divisors is an integer number (17738200).

Almost surely, 2240323664 is an apocalyptic number.

240323664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

240323664 is an abundant number, since it is smaller than the sum of its proper divisors (469204336).

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

240323664 is a wasteful number, since it uses less digits than its factorization.

240323664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715267 (or 715261 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 240323664 is about 15502.3760759440. The cubic root of 240323664 is about 621.7257366199.

The spelling of 240323664 in words is "two hundred forty million, three hundred twenty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 715249 1430498 2145747 2860996 4291494 5006743 5721992 8582988 10013486 11443984 15020229 17165976 20026972 30040458 34331952 40053944 60080916 80107888 120161832 240323664