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242254032 = 24323219433
BaseRepresentation
bin11100111000010…
…00000011010000
3121212211210001120
432130020003100
5444004112112
640012202240
76001060656
oct1634100320
9555753046
10242254032
11114823049
1269169380
133b25caa7
1424260dd6
1516403e8c
hexe7080d0

242254032 has 40 divisors (see below), whose sum is σ = 653035584. Its totient is φ = 77240064.

The previous prime is 242254013. The next prime is 242254037. The reversal of 242254032 is 230452242.

It is a happy number.

It is a super-4 number, since 4×2422540324 (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 242253993 and 242254011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242254037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108613 + ... + 110820.

Almost surely, 2242254032 is an apocalyptic number.

It is an amenable number.

242254032 is an abundant number, since it is smaller than the sum of its proper divisors (410781552).

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

242254032 is a wasteful number, since it uses less digits than its factorization.

242254032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219467 (or 219461 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 242254032 is about 15564.5119422358. The cubic root of 242254032 is about 623.3859426048.

The spelling of 242254032 in words is "two hundred forty-two million, two hundred fifty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 219433 438866 658299 877732 1316598 1755464 2633196 3510928 5046959 5266392 10093918 10532784 15140877 20187836 30281754 40375672 60563508 80751344 121127016 242254032