Search a number
-
+
242391604 = 227133121481
BaseRepresentation
bin11100111001010…
…01101000110100
3121220002202202211
432130221220310
5444023012404
640015143204
76002203030
oct1634515064
9556082684
10242391604
11114907444
1269214b04
133b2aa5b0
14242991c0
151642eb04
hexe729a34

242391604 has 48 divisors (see below), whose sum is σ = 538940416. Its totient is φ = 92793600.

The previous prime is 242391601. The next prime is 242391619. The reversal of 242391604 is 406193242.

242391604 = T41 + T42 + ... + T1132.

It is a happy number.

242391604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242391601) 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, 544 + ... + 22024.

Almost surely, 2242391604 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 242391604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269470208).

242391604 is an abundant number, since it is smaller than the sum of its proper divisors (296548812).

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

242391604 is a wasteful number, since it uses less digits than its factorization.

242391604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21536 (or 21534 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 242391604 is about 15568.9307275741. The cubic root of 242391604 is about 623.5039237468.

The spelling of 242391604 in words is "two hundred forty-two million, three hundred ninety-one thousand, six hundred four".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 364 403 434 806 868 1612 2821 5642 11284 21481 42962 85924 150367 279253 300734 558506 601468 665911 1117012 1331822 1954771 2663644 3909542 4661377 7819084 8656843 9322754 17313686 18645508 34627372 60597901 121195802 242391604