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34407770070 = 2352942193941
BaseRepresentation
bin100000000010110111…
…001110011111010110
310021210221021211012110
4200002313032133112
51030431342120240
623450125531450
72325441135312
oct400267163726
9107727254173
1034407770070
111365731aa13
126803113b86
13332461897b
1419459c6b42
15d65a99c80
hex802dce7d6

34407770070 has 64 divisors (see below), whose sum is σ = 85630011840. Its totient is φ = 8837875200.

The previous prime is 34407770029. The next prime is 34407770071. The reversal of 34407770070 is 7007770443.

34407770070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34407770071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319300 + ... + 413240.

It is an arithmetic number, because the mean of its divisors is an integer number (1337968935).

Almost surely, 234407770070 is an apocalyptic number.

34407770070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34407770070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42815005920).

34407770070 is an abundant number, since it is smaller than the sum of its proper divisors (51222241770).

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

34407770070 is a wasteful number, since it uses less digits than its factorization.

34407770070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94401.

The product of its (nonzero) digits is 115248, while the sum is 39.

The spelling of 34407770070 in words is "thirty-four billion, four hundred seven million, seven hundred seventy thousand, seventy".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 421 435 842 870 1263 2105 2526 4210 6315 12209 12630 24418 36627 61045 73254 93941 122090 183135 187882 281823 366270 469705 563646 939410 1409115 2724289 2818230 5448578 8172867 13621445 16345734 27242890 39549161 40864335 79098322 81728670 118647483 197745805 237294966 395491610 593237415 1146925669 1186474830 2293851338 3440777007 5734628345 6881554014 11469256690 17203885035 34407770070