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34414111320 = 2335557514873
BaseRepresentation
bin100000000011001111…
…011010101001011000
310021211101012222202120
4200003033122221120
51030440003030240
623450513501240
72325546056031
oct400317325130
9107741188676
1034414111320
111365a961216
126805271820
133325a290a4
141946797a88
15d663edad0
hex8033daa58

34414111320 has 64 divisors (see below), whose sum is σ = 103427889120. Its totient is φ = 9160602624.

The previous prime is 34414111273. The next prime is 34414111321. The reversal of 34414111320 is 2311141443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34414111321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190597 + ... + 324276.

Almost surely, 234414111320 is an apocalyptic number.

34414111320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34414111320 is an abundant number, since it is smaller than the sum of its proper divisors (69013777800).

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

34414111320 is a wasteful number, since it uses less digits than its factorization.

34414111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515444 (or 515440 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 34414111320 its reverse (2311141443), we get a palindrome (36725252763).

The spelling of 34414111320 in words is "thirty-four billion, four hundred fourteen million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 557 1114 1671 2228 2785 3342 4456 5570 6684 8355 11140 13368 16710 22280 33420 66840 514873 1029746 1544619 2059492 2574365 3089238 4118984 5148730 6178476 7723095 10297460 12356952 15446190 20594920 30892380 61784760 286784261 573568522 860352783 1147137044 1433921305 1720705566 2294274088 2867842610 3441411132 4301763915 5735685220 6882822264 8603527830 11471370440 17207055660 34414111320