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242351616 = 2931353229
BaseRepresentation
bin11100111000111…
…11111000000000
3121220000201220210
432130133320000
5444020222431
640014234120
76001645323
oct1634377000
9556021823
10242351616
1111488a3a1
12691b5940
133b295330
14242887ba
1516422d46
hexe71fe00

242351616 has 160 divisors (see below), whose sum is σ = 711516960. Its totient is φ = 72843264.

The previous prime is 242351611. The next prime is 242351623. The reversal of 242351616 is 616153242.

242351616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2423516162 = 117468611555622912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242351611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1058190 + ... + 1058418.

It is an arithmetic number, because the mean of its divisors is an integer number (4446981).

Almost surely, 2242351616 is an apocalyptic number.

242351616 is a gapful number since it is divisible by the number (26) 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 242351616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355758480).

242351616 is an abundant number, since it is smaller than the sum of its proper divisors (469165344).

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

242351616 is a wasteful number, since it uses less digits than its factorization.

242351616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 300 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 242351616 is about 15567.6464502506. The cubic root of 242351616 is about 623.4696348170.

The spelling of 242351616 in words is "two hundred forty-two million, three hundred fifty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 64 78 96 104 106 128 156 159 192 208 212 229 256 312 318 384 416 424 458 512 624 636 687 689 768 832 848 916 1248 1272 1374 1378 1536 1664 1696 1832 2067 2496 2544 2748 2756 2977 3328 3392 3664 4134 4992 5088 5496 5512 5954 6656 6784 7328 8268 8931 9984 10176 10992 11024 11908 12137 13568 14656 16536 17862 19968 20352 21984 22048 23816 24274 27136 29312 33072 35724 36411 40704 43968 44096 47632 48548 58624 66144 71448 72822 81408 87936 88192 95264 97096 117248 132288 142896 145644 157781 175872 176384 190528 194192 264576 285792 291288 315562 351744 352768 381056 388384 473343 529152 571584 582576 631124 762112 776768 946686 1058304 1143168 1165152 1262248 1524224 1553536 1893372 2286336 2330304 2524496 3107072 3786744 4572672 4660608 5048992 6214144 7573488 9321216 10097984 15146976 18642432 20195968 30293952 40391936 60587904 80783872 121175808 242351616