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34240323000 = 23353131934549
BaseRepresentation
bin11111111000111000…
…011101110110111000
310021101021012122000010
4133320320131312320
51030111010314000
623421344541520
72321335641402
oct377070356670
9107337178003
1034240323000
1113580851504
1267770218a0
1332c8a1b670
14192b679b72
15d56020d50
hex7f8e1ddb8

34240323000 has 256 divisors, whose sum is σ = 115669008000. Its totient is φ = 8382873600.

The previous prime is 34240322993. The next prime is 34240323011. The reversal of 34240323000 is 32304243.

It is a super-3 number, since 3×342403230003 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7524726 + ... + 7529274.

Almost surely, 234240323000 is an apocalyptic number.

34240323000 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 34240323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57834504000).

34240323000 is an abundant number, since it is smaller than the sum of its proper divisors (81428685000).

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

34240323000 is a wasteful number, since it uses less digits than its factorization.

34240323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4779 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 34240323000 its reverse (32304243), we get a palindrome (34272627243).

The spelling of 34240323000 in words is "thirty-four billion, two hundred forty million, three hundred twenty-three thousand".