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242345404 = 227171034943
BaseRepresentation
bin11100111000111…
…10010110111100
3121220000102101201
432130132112330
5444020023104
640014145244
76001621240
oct1634362674
9556012351
10242345404
11114885764
12691b2224
133b292562
1424286420
15164210a4
hexe71e5bc

242345404 has 48 divisors (see below), whose sum is σ = 518289408. Its totient is φ = 96784128.

The previous prime is 242345401. The next prime is 242345407. The reversal of 242345404 is 404543242.

It is an interprime number because it is at equal distance from previous prime (242345401) and next prime (242345407).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242345401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46557 + ... + 51499.

It is an arithmetic number, because the mean of its divisors is an integer number (10797696).

Almost surely, 2242345404 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 242345404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259144704).

242345404 is an abundant number, since it is smaller than the sum of its proper divisors (275944004).

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

242345404 is a wasteful number, since it uses less digits than its factorization.

242345404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

The square root of 242345404 is about 15567.4469326219. The cubic root of 242345404 is about 623.4643078097.

Adding to 242345404 its reverse (404543242), we get a palindrome (646888646).

The spelling of 242345404 in words is "two hundred forty-two million, three hundred forty-five thousand, four hundred four".

Divisors: 1 2 4 7 14 17 28 34 68 103 119 206 238 412 476 721 1442 1751 2884 3502 4943 7004 9886 12257 19772 24514 34601 49028 69202 84031 138404 168062 336124 509129 588217 1018258 1176434 2036516 2352868 3563903 7127806 8655193 14255612 17310386 34620772 60586351 121172702 242345404