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242314300 = 22526593677
BaseRepresentation
bin11100111000101…
…10110000111100
3121212221211201201
432130112300330
5444013024200
640013345244
76001431454
oct1634266074
9555854651
10242314300
11114864358
1269198224
133b281357
1424278d64
1516416c6a
hexe716c3c

242314300 has 36 divisors (see below), whose sum is σ = 526763160. Its totient is φ = 96752320.

The previous prime is 242314297. The next prime is 242314307. The reversal of 242314300 is 3413242.

It is a super-3 number, since 3×2423143003 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242314307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64062 + ... + 67738.

It is an arithmetic number, because the mean of its divisors is an integer number (14632310).

Almost surely, 2242314300 is an apocalyptic number.

242314300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242314300 is an abundant number, since it is smaller than the sum of its proper divisors (284448860).

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

242314300 is a wasteful number, since it uses less digits than its factorization.

242314300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350 (or 4343 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 242314300 is about 15566.4478928238. The cubic root of 242314300 is about 623.4376336727.

Adding to 242314300 its reverse (3413242), we get a palindrome (245727542).

The spelling of 242314300 in words is "two hundred forty-two million, three hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 659 1318 2636 3295 3677 6590 7354 13180 14708 16475 18385 32950 36770 65900 73540 91925 183850 367700 2423143 4846286 9692572 12115715 24231430 48462860 60578575 121157150 242314300