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34422743040 = 21335725717
BaseRepresentation
bin100000000011110000…
…010110000000000000
310021211222110112020220
4200003300112000000
51030444210234130
623451422503040
72326012326300
oct400360260000
9107758415226
1034422743040
1113664817374
126808134a80
13332775bc0a
1419479a3600
15d67056410
hex803c16000

34422743040 has 336 divisors, whose sum is σ = 128151495792. Its totient is φ = 7866679296.

The previous prime is 34422743021. The next prime is 34422743071. The reversal of 34422743040 is 4034722443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 34422742992 and 34422743010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6018262 + ... + 6023978.

Almost surely, 234422743040 is an apocalyptic number.

34422743040 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 34422743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64075747896).

34422743040 is an abundant number, since it is smaller than the sum of its proper divisors (93728752752).

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

34422743040 is an equidigital number, since it uses as much as digits as its factorization.

34422743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5765 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 33.

The spelling of 34422743040 in words is "thirty-four billion, four hundred twenty-two million, seven hundred forty-three thousand, forty".