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342314010 = 232537102797
BaseRepresentation
bin10100011001110…
…100110000011010
3212212010100112200
4110121310300122
51200113022020
653544551030
711324423013
oct2431646032
9785110480
10342314010
11166255645
1296782476
1355bc498c
143366a00a
15200bb590
hex14674c1a

342314010 has 48 divisors (see below), whose sum is σ = 914079816. Its totient is φ = 88815744.

The previous prime is 342313987. The next prime is 342314033. The reversal of 342314010 is 10413243.

342314010 is a `hidden beast` number, since 34 + 231 + 401 + 0 = 666.

342314010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (342313987) and next prime (342314033).

It can be written as a sum of positive squares in 4 ways, for example, as 281333529 + 60980481 = 16773^2 + 7809^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48069 + ... + 54728.

Almost surely, 2342314010 is an apocalyptic number.

342314010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

342314010 is an abundant number, since it is smaller than the sum of its proper divisors (571765806).

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

342314010 is a wasteful number, since it uses less digits than its factorization.

342314010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102847 (or 102844 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 342314010 is about 18501.7299191184. The cubic root of 342314010 is about 699.5330286879.

Adding to 342314010 its reverse (10413243), we get a palindrome (352727253).

The spelling of 342314010 in words is "three hundred forty-two million, three hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 102797 205594 308391 513985 616782 925173 1027970 1541955 1850346 3083910 3803489 4625865 7606978 9251730 11410467 19017445 22820934 34231401 38034890 57052335 68462802 114104670 171157005 342314010