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242356884 = 223711318461
BaseRepresentation
bin11100111001000…
…01001010010100
3121220001000010220
432130201022110
5444020410014
640014314340
76001666560
oct1634411224
9556030126
10242356884
11114893350
12691b89b0
133b297853
142428a6a0
15164246a9
hexe721294

242356884 has 96 divisors (see below), whose sum is σ = 727867392. Its totient is φ = 60912000.

The previous prime is 242356859. The next prime is 242356909. The reversal of 242356884 is 488653242.

It is an interprime number because it is at equal distance from previous prime (242356859) and next prime (242356909).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24414 + ... + 32874.

It is an arithmetic number, because the mean of its divisors is an integer number (7581952).

Almost surely, 2242356884 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242356884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363933696).

242356884 is an abundant number, since it is smaller than the sum of its proper divisors (485510508).

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

242356884 is a wasteful number, since it uses less digits than its factorization.

242356884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8517 (or 8515 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 242356884 is about 15567.8156463905. The cubic root of 242356884 is about 623.4741522399.

The spelling of 242356884 in words is "two hundred forty-two million, three hundred fifty-six thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 124 132 154 186 217 231 308 341 372 434 462 651 682 868 924 1023 1302 1364 2046 2387 2604 4092 4774 7161 8461 9548 14322 16922 25383 28644 33844 50766 59227 93071 101532 118454 177681 186142 236908 262291 279213 355362 372284 524582 558426 651497 710724 786873 1049164 1116852 1302994 1573746 1836037 1954491 2605988 2885201 3147492 3672074 3908982 5508111 5770402 7344148 7817964 8655603 11016222 11540804 17311206 20196407 22032444 34622412 40392814 60589221 80785628 121178442 242356884