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34704122376 = 23371159714483
BaseRepresentation
bin100000010100100001…
…101110001000001000
310022120120221002010210
4200110201232020020
51032033223404001
623535353441120
72336000113230
oct402441561010
9108516832123
1034704122376
1113799632880
1268864101a0
133370b3a371
1419730cacc0
15d81ad7dd6
hex81486e208

34704122376 has 256 divisors, whose sum is σ = 111576268800. Its totient is φ = 8734521600.

The previous prime is 34704122363. The next prime is 34704122413. The reversal of 34704122376 is 67322140743.

It is a happy number.

It is a super-2 number, since 2×347041223762 (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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7739031 + ... + 7743513.

It is an arithmetic number, because the mean of its divisors is an integer number (435844800).

Almost surely, 234704122376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34704122376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55788134400).

34704122376 is an abundant number, since it is smaller than the sum of its proper divisors (76872146424).

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

34704122376 is a wasteful number, since it uses less digits than its factorization.

34704122376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4640 (or 4636 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

It can be divided in two parts, 34704 and 122376, that added together give a triangular number (157080 = T560).

The spelling of 34704122376 in words is "thirty-four billion, seven hundred four million, one hundred twenty-two thousand, three hundred seventy-six".