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242838340 = 225101239503
BaseRepresentation
bin11100111100101…
…10101101000100
3121220221110120121
432132112231010
5444131311330
640032511324
76006043333
oct1636265504
9556843517
10242838340
11115092048
12693ab544
133b405a34
1424373d1a
15164bc17a
hexe796b44

242838340 has 48 divisors (see below), whose sum is σ = 518192640. Its totient is φ = 95580800.

The previous prime is 242838311. The next prime is 242838341. The reversal of 242838340 is 43838242.

It is a junction number, because it is equal to n+sod(n) for n = 242838296 and 242838305.

It is not an unprimeable number, because it can be changed into a prime (242838341) 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, 482529 + ... + 483031.

It is an arithmetic number, because the mean of its divisors is an integer number (10795680).

Almost surely, 2242838340 is an apocalyptic number.

242838340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242838340 is an abundant number, since it is smaller than the sum of its proper divisors (275354300).

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

242838340 is a wasteful number, since it uses less digits than its factorization.

242838340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 242838340 is about 15583.2711585212. The cubic root of 242838340 is about 623.8867350030.

It can be divided in two parts, 24283 and 8340, that added together give a palindrome (32623).

The spelling of 242838340 in words is "two hundred forty-two million, eight hundred thirty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 101 202 239 404 478 503 505 956 1006 1010 1195 2012 2020 2390 2515 4780 5030 10060 24139 48278 50803 96556 101606 120217 120695 203212 240434 241390 254015 480868 482780 508030 601085 1016060 1202170 2404340 12141917 24283834 48567668 60709585 121419170 242838340