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34074200100 = 22352211538297
BaseRepresentation
bin11111101110111110…
…110000100000100100
310020221200121201020010
4133232332300200210
51024240443400400
623353052210220
72314250631153
oct375676604044
9106850551203
1034074200100
11134a5aa7956
12672b469970
1332a0495ca5
14191359559a
15d46659450
hex7eefb0824

34074200100 has 72 divisors (see below), whose sum is σ = 99055444768. Its totient is φ = 9043372800.

The previous prime is 34074200071. The next prime is 34074200113. The reversal of 34074200100 is 100247043.

It is a super-2 number, since 2×340742001002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205849 + ... + 332448.

Almost surely, 234074200100 is an apocalyptic number.

34074200100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34074200100 is an abundant number, since it is smaller than the sum of its proper divisors (64981244668).

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

34074200100 is a wasteful number, since it uses less digits than its factorization.

34074200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538525 (or 538518 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

Adding to 34074200100 its reverse (100247043), we get a palindrome (34174447143).

The spelling of 34074200100 in words is "thirty-four billion, seventy-four million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 211 300 422 633 844 1055 1266 2110 2532 3165 4220 5275 6330 10550 12660 15825 21100 31650 63300 538297 1076594 1614891 2153188 2691485 3229782 5382970 6459564 8074455 10765940 13457425 16148910 26914850 32297820 40372275 53829700 80744550 113580667 161489100 227161334 340742001 454322668 567903335 681484002 1135806670 1362968004 1703710005 2271613340 2839516675 3407420010 5679033350 6814840020 8518550025 11358066700 17037100050 34074200100