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242073664 = 267540343
BaseRepresentation
bin11100110110111…
…00000001000000
3121212111121122021
432123130001000
5443432324124
640004251224
75666410060
oct1633340100
9555447567
10242073664
1111470a588
12690a0b14
133b1c8971
14242153a0
15163ba7e4
hexe6dc040

242073664 has 28 divisors (see below), whose sum is σ = 548989504. Its totient is φ = 103745664.

The previous prime is 242073649. The next prime is 242073679. The reversal of 242073664 is 466370242.

It is an interprime number because it is at equal distance from previous prime (242073649) and next prime (242073679).

It is a tau number, because it is divible by the number of its divisors (28).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 269724 + ... + 270619.

It is an arithmetic number, because the mean of its divisors is an integer number (19606768).

Almost surely, 2242073664 is an apocalyptic number.

It is an amenable number.

242073664 is an abundant number, since it is smaller than the sum of its proper divisors (306915840).

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

242073664 is an equidigital number, since it uses as much as digits as its factorization.

242073664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540362 (or 540352 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 242073664 is about 15558.7166565884. The cubic root of 242073664 is about 623.2311921122.

The spelling of 242073664 in words is "two hundred forty-two million, seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 540343 1080686 2161372 3782401 4322744 7564802 8645488 15129604 17290976 30259208 34581952 60518416 121036832 242073664