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34742976900 = 22352115809923
BaseRepresentation
bin100000010110110101…
…111100000110000100
310022200022001002112020
4200112311330012010
51032123200230100
623543302323140
72336651300562
oct402665740604
9108608032466
1034742976900
1113809560855
1268974294b0
133378bc26c8
141978322a32
15d852105a0
hex816d7c184

34742976900 has 36 divisors (see below), whose sum is σ = 100523014032. Its totient is φ = 9264793760.

The previous prime is 34742976887. The next prime is 34742976929. The reversal of 34742976900 is 967924743.

It is a super-2 number, since 2×347429769002 (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 11 ways as a sum of consecutive naturals, for example, 57904662 + ... + 57905261.

Almost surely, 234742976900 is an apocalyptic number.

34742976900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34742976900 is an abundant number, since it is smaller than the sum of its proper divisors (65780037132).

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

34742976900 is a wasteful number, since it uses less digits than its factorization.

34742976900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115809940 (or 115809933 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 51.

The spelling of 34742976900 in words is "thirty-four billion, seven hundred forty-two million, nine hundred seventy-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 115809923 231619846 347429769 463239692 579049615 694859538 1158099230 1389719076 1737148845 2316198460 2895248075 3474297690 5790496150 6948595380 8685744225 11580992300 17371488450 34742976900