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34343201340 = 22345721792417
BaseRepresentation
bin11111111111000000…
…111010101000111100
310021122102210101120000
4133333000322220330
51030313324420330
623435501554300
72324025252300
oct377700725074
9107572711500
1034343201340
1113623929528
1267a5575990
13331412c316
14193b1b9d00
15d60093560
hex7ff03aa3c

34343201340 has 360 divisors, whose sum is σ = 126077711760. Its totient is φ = 7802790912.

The previous prime is 34343201329. The next prime is 34343201359. The reversal of 34343201340 is 4310234343.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14207812 + ... + 14210228.

It is an arithmetic number, because the mean of its divisors is an integer number (350215866).

Almost surely, 234343201340 is an apocalyptic number.

34343201340 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 34343201340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63038855880).

34343201340 is an abundant number, since it is smaller than the sum of its proper divisors (91734510420).

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

34343201340 is a wasteful number, since it uses less digits than its factorization.

34343201340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 34343201340 its reverse (4310234343), we get a palindrome (38653435683).

The spelling of 34343201340 in words is "thirty-four billion, three hundred forty-three million, two hundred one thousand, three hundred forty".