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34114214232 = 2333722562311
BaseRepresentation
bin11111110001010111…
…011001100101011000
310021001110220122022000
4133301113121211120
51024331214323412
623401042001000
72315245015350
oct376127314530
9107043818260
1034114214232
111351664808a
126740946160
1332a88660a7
141918a0db60
15d49e104dc
hex7f15d9958

34114214232 has 64 divisors (see below), whose sum is σ = 108299097600. Its totient is φ = 9746917920.

The previous prime is 34114214201. The next prime is 34114214237. The reversal of 34114214232 is 23241241143.

34114214232 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 421 + 4 + 232 = 666.

It is a super-2 number, since 2×341142142322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34114214196 and 34114214205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34114214237) 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, 11279644 + ... + 11282667.

It is an arithmetic number, because the mean of its divisors is an integer number (1692173400).

Almost surely, 234114214232 is an apocalyptic number.

It is an amenable number.

34114214232 is an abundant number, since it is smaller than the sum of its proper divisors (74184883368).

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

34114214232 is a wasteful number, since it uses less digits than its factorization.

34114214232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22562333 (or 22562323 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 34114214232 its reverse (23241241143), we get a palindrome (57355455375).

The spelling of 34114214232 in words is "thirty-four billion, one hundred fourteen million, two hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 22562311 45124622 67686933 90249244 135373866 157936177 180498488 203060799 270747732 315872354 406121598 473808531 541495464 609182397 631744708 812243196 947617062 1218364794 1263489416 1421425593 1624486392 1895234124 2436729588 2842851186 3790468248 4264276779 4873459176 5685702372 8528553558 11371404744 17057107116 34114214232