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34980834420 = 2233573188861
BaseRepresentation
bin100000100101000001…
…010010110001110100
310100021212121111201000
4200211001102301310
51033120043200140
624023040403300
72345600121000
oct404501226164
9110255544630
1034980834420
1113920850714
126943016530
1333b62732bc
14199bb5b700
15d9b046a30
hex825052c74

34980834420 has 192 divisors, whose sum is σ = 126915264000. Its totient is φ = 7995576960.

The previous prime is 34980834377. The next prime is 34980834437. The reversal of 34980834420 is 2443808943.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90790 + ... + 279650.

It is an arithmetic number, because the mean of its divisors is an integer number (661017000).

Almost surely, 234980834420 is an apocalyptic number.

34980834420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34980834420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63457632000).

34980834420 is an abundant number, since it is smaller than the sum of its proper divisors (91934429580).

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

34980834420 is a wasteful number, since it uses less digits than its factorization.

34980834420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188900 (or 188878 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 34980834420 in words is "thirty-four billion, nine hundred eighty million, eight hundred thirty-four thousand, four hundred twenty".