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34032214100 = 22522029167729
BaseRepresentation
bin11111101100011110…
…100110000001010100
310020211202121121021002
4133230132212001110
51024144221322400
623344552242432
72313231022043
oct375436460124
9106752547232
1034032214100
1113484330185
1267193a0418
1332948854c1
14190bb8655a
15d42b13ed5
hex7ec7a6054

34032214100 has 36 divisors (see below), whose sum is σ = 73886742300. Its totient is φ = 13606095360.

The previous prime is 34032214081. The next prime is 34032214103. The reversal of 34032214100 is 141223043.

It can be written as a sum of positive squares in 6 ways, for example, as 1313192644 + 32719021456 = 36238^2 + 180884^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34032214103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119036 + ... + 286764.

Almost surely, 234032214100 is an apocalyptic number.

It is an amenable number.

34032214100 is an abundant number, since it is smaller than the sum of its proper divisors (39854528200).

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

34032214100 is a wasteful number, since it uses less digits than its factorization.

34032214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169772 (or 169765 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34032214100 its reverse (141223043), we get a palindrome (34173437143).

The spelling of 34032214100 in words is "thirty-four billion, thirty-two million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2029 4058 8116 10145 20290 40580 50725 101450 167729 202900 335458 670916 838645 1677290 3354580 4193225 8386450 16772900 340322141 680644282 1361288564 1701610705 3403221410 6806442820 8508053525 17016107050 34032214100