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34052332140 = 22325238225201
BaseRepresentation
bin11111101101101011…
…010101101001101100
310020220011110201000200
4133231223111221230
51024214344112030
623350551353500
72313564022161
oct375553255154
9106804421020
1034052332140
1113494721162
126724082890
133298aaa578
141910702068
15d44789d60
hex7edad5a6c

34052332140 has 72 divisors (see below), whose sum is σ = 107783047008. Its totient is φ = 8685811200.

The previous prime is 34052332123. The next prime is 34052332183. The reversal of 34052332140 is 4123325043.

34052332140 is a `hidden beast` number, since 3 + 405 + 233 + 21 + 4 + 0 = 666.

It is a super-2 number, since 2×340523321402 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4108461 + ... + 4116740.

It is an arithmetic number, because the mean of its divisors is an integer number (1496986764).

Almost surely, 234052332140 is an apocalyptic number.

34052332140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34052332140 is an abundant number, since it is smaller than the sum of its proper divisors (73730714868).

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

34052332140 is a wasteful number, since it uses less digits than its factorization.

34052332140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8225239 (or 8225234 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 34052332140 its reverse (4123325043), we get a palindrome (38175657183).

The spelling of 34052332140 in words is "thirty-four billion, fifty-two million, three hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 8225201 16450402 24675603 32900804 41126005 49351206 74026809 82252010 98702412 123378015 148053618 164504020 189179623 246756030 296107236 370134045 378359246 493512060 567538869 740268090 756718492 945898115 1135077738 1480536180 1702616607 1891796230 2270155476 2837694345 3405233214 3783592460 5675388690 6810466428 8513083035 11350777380 17026166070 34052332140