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242023464 = 23341392687
BaseRepresentation
bin11100110110011…
…11110000101000
3121212102001210000
432123033300220
5443424222324
640003223000
75666110524
oct1633176050
9555361700
10242023464
111146858a1
1269077a60
133b1abb67
1424200d84
15163aa9c9
hexe6cfc28

242023464 has 80 divisors (see below), whose sum is σ = 683020800. Its totient is φ = 80064288.

The previous prime is 242023433. The next prime is 242023469. The reversal of 242023464 is 464320242.

242023464 is a `hidden beast` number, since 2 + 420 + 234 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (242023469) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88729 + ... + 91415.

It is an arithmetic number, because the mean of its divisors is an integer number (8537760).

Almost surely, 2242023464 is an apocalyptic number.

242023464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242023464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341510400).

242023464 is an abundant number, since it is smaller than the sum of its proper divisors (440997336).

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

242023464 is a wasteful number, since it uses less digits than its factorization.

242023464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 242023464 is about 15557.1033293477. The cubic root of 242023464 is about 623.1881083001.

The spelling of 242023464 in words is "two hundred forty-two million, twenty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 139 162 216 278 324 417 556 648 834 1112 1251 1668 2502 2687 3336 3753 5004 5374 7506 8061 10008 10748 11259 15012 16122 21496 22518 24183 30024 32244 45036 48366 64488 72549 90072 96732 145098 193464 217647 290196 373493 435294 580392 746986 870588 1120479 1493972 1741176 2240958 2987944 3361437 4481916 6722874 8963832 10084311 13445748 20168622 26891496 30252933 40337244 60505866 80674488 121011732 242023464