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34290738810 = 23252081183089
BaseRepresentation
bin11111111011111000…
…110010011001111010
310021111210002000111100
4133323320302121322
51030211412120220
623430345312230
72322520320306
oct377370623172
9107453060440
1034290738810
11135a7256669
12678ba95676
1333062c10c3
141934240d06
15d5a67dd90
hex7fbe3267a

34290738810 has 48 divisors (see below), whose sum is σ = 89199250920. Its totient is φ = 9139752960.

The previous prime is 34290738809. The next prime is 34290738821. The reversal of 34290738810 is 1883709243.

It can be written as a sum of positive squares in 4 ways, for example, as 20996879409 + 13293859401 = 144903^2 + 115299^2 .

It is a super-2 number, since 2×342907388102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95746 + ... + 278834.

Almost surely, 234290738810 is an apocalyptic number.

34290738810 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34290738810 is an abundant number, since it is smaller than the sum of its proper divisors (54908512110).

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

34290738810 is a wasteful number, since it uses less digits than its factorization.

34290738810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185183 (or 185180 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 34290738810 in words is "thirty-four billion, two hundred ninety million, seven hundred thirty-eight thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2081 4162 6243 10405 12486 18729 20810 31215 37458 62430 93645 183089 187290 366178 549267 915445 1098534 1647801 1830890 2746335 3295602 5492670 8239005 16478010 381008209 762016418 1143024627 1905041045 2286049254 3429073881 3810082090 5715123135 6858147762 11430246270 17145369405 34290738810