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242337888 = 2532133383
BaseRepresentation
bin11100111000111…
…00100001100000
3121220000001002100
432130130201200
5444014303023
640014050400
76001560312
oct1634344140
9556001070
10242337888
11114880051
12691a9a00
133b28c000
14242837b2
151641dc43
hexe71c860

242337888 has 144 divisors (see below), whose sum is σ = 748500480. Its totient is φ = 74370816.

The previous prime is 242337883. The next prime is 242337899. The reversal of 242337888 is 888733242.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242337883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632545 + ... + 632927.

It is an arithmetic number, because the mean of its divisors is an integer number (5197920).

Almost surely, 2242337888 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 242337888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374250240).

242337888 is an abundant number, since it is smaller than the sum of its proper divisors (506162592).

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

242337888 is a wasteful number, since it uses less digits than its factorization.

242337888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 401 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 242337888 is about 15567.2055295740. The cubic root of 242337888 is about 623.4578624551.

The spelling of 242337888 in words is "two hundred forty-two million, three hundred thirty-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 234 288 312 338 383 416 468 507 624 676 766 936 1014 1149 1248 1352 1521 1532 1872 2028 2197 2298 2704 3042 3064 3447 3744 4056 4394 4596 4979 5408 6084 6128 6591 6894 8112 8788 9192 9958 12168 12256 13182 13788 14937 16224 17576 18384 19773 19916 24336 26364 27576 29874 35152 36768 39546 39832 44811 48672 52728 55152 59748 64727 70304 79092 79664 89622 105456 110304 119496 129454 158184 159328 179244 194181 210912 238992 258908 316368 358488 388362 477984 517816 582543 632736 716976 776724 841451 1035632 1165086 1433952 1553448 1682902 2071264 2330172 2524353 3106896 3365804 4660344 5048706 6213792 6731608 7573059 9320688 10097412 13463216 15146118 18641376 20194824 26926432 30292236 40389648 60584472 80779296 121168944 242337888