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242530432 = 2717227491
BaseRepresentation
bin11100111010010…
…11100010000000
3121220100211012121
432131023202000
5444041433212
640022134024
76003321544
oct1635134200
9556324177
10242530432
111149a1781
1269281314
133b328841
14242d3a24
151645ad07
hexe74b880

242530432 has 64 divisors (see below), whose sum is σ = 514887840. Its totient is φ = 113397760.

The previous prime is 242530427. The next prime is 242530441. The reversal of 242530432 is 234035242.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2425304322 = 117642020892213248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242530397 and 242530406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 493707 + ... + 494197.

Almost surely, 2242530432 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 242530432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257443920).

242530432 is an abundant number, since it is smaller than the sum of its proper divisors (272357408).

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

242530432 is a wasteful number, since it uses less digits than its factorization.

242530432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 242530432 is about 15573.3885843769. The cubic root of 242530432 is about 623.6229367834.

Adding to 242530432 its reverse (234035242), we get a palindrome (476565674).

The spelling of 242530432 in words is "two hundred forty-two million, five hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 227 272 454 491 544 908 982 1088 1816 1964 2176 3632 3859 3928 7264 7718 7856 8347 14528 15436 15712 16694 29056 30872 31424 33388 61744 62848 66776 111457 123488 133552 222914 246976 267104 445828 493952 534208 891656 1068416 1783312 1894769 3566624 3789538 7133248 7579076 14266496 15158152 30316304 60632608 121265216 242530432