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242412432 = 2436775377
BaseRepresentation
bin11100111001011…
…10101110010000
3121220010211100020
432130232232100
5444024144212
640015423440
76002320533
oct1634565620
9556124306
10242412432
11114921059
1269224b80
133b2b6c12
14242a2a1a
1516435d8c
hexe72eb90

242412432 has 40 divisors (see below), whose sum is σ = 635587296. Its totient is φ = 79597056.

The previous prime is 242412427. The next prime is 242412437. The reversal of 242412432 is 234214242.

It is an interprime number because it is at equal distance from previous prime (242412427) and next prime (242412437).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (242412437) 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, 34473 + ... + 40904.

Almost surely, 2242412432 is an apocalyptic number.

It is an amenable number.

242412432 is an abundant number, since it is smaller than the sum of its proper divisors (393174864).

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

242412432 is a wasteful number, since it uses less digits than its factorization.

242412432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75455 (or 75449 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 242412432 is about 15569.5996094954. The cubic root of 242412432 is about 623.5217818568.

Adding to 242412432 its reverse (234214242), we get a palindrome (476626674).

The spelling of 242412432 in words is "two hundred forty-two million, four hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 3216 75377 150754 226131 301508 452262 603016 904524 1206032 1809048 3618096 5050259 10100518 15150777 20201036 30301554 40402072 60603108 80804144 121206216 242412432