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34214340231 = 32191553128837
BaseRepresentation
bin11111110111010101…
…010110011010000111
310021022110022120100100
4133313111112122013
51030032332341411
623415020015143
72320602044031
oct376725263207
9107273276310
1034214340231
1113568115245
12676a3914b3
1332c3522046
141928034c51
15d53adc456
hex7f7556687

34214340231 has 24 divisors (see below), whose sum is σ = 52055705520. Its totient is φ = 21594974976.

The previous prime is 34214340179. The next prime is 34214340247. The reversal of 34214340231 is 13204341243.

34214340231 is a `hidden beast` number, since 3 + 421 + 4 + 3 + 4 + 0 + 231 = 666.

It is not a de Polignac number, because 34214340231 - 219 = 34213815943 is a prime.

It is a super-2 number, since 2×342143402312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34214340195 and 34214340204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34214340631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201145 + ... + 329981.

It is an arithmetic number, because the mean of its divisors is an integer number (2168987730).

Almost surely, 234214340231 is an apocalyptic number.

34214340231 is a deficient number, since it is larger than the sum of its proper divisors (17841365289).

34214340231 is a wasteful number, since it uses less digits than its factorization.

34214340231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130415 (or 130412 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34214340231 its reverse (13204341243), we get a palindrome (47418681474).

The spelling of 34214340231 in words is "thirty-four billion, two hundred fourteen million, three hundred forty thousand, two hundred thirty-one".

Divisors: 1 3 9 19 57 171 1553 4659 13977 29507 88521 128837 265563 386511 1159533 2447903 7343709 22031127 200083861 600251583 1800754749 3801593359 11404780077 34214340231