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34995005448 = 2331319234347127
BaseRepresentation
bin100000100101110111…
…010110100000001000
310100022212021110200220
4200211313112200020
51033132210133243
624024304230040
72346131431644
oct404567264010
9110285243626
1034995005448
111392884a607
12694790b320
1333b9195520
14199d9a9c24
15d9c3e5783
hex825dd6808

34995005448 has 512 divisors, whose sum is σ = 108999475200. Its totient is φ = 9254310912.

The previous prime is 34995005443. The next prime is 34995005449. The reversal of 34995005448 is 84450059943.

It is a self number, because there is not a number n which added to its sum of digits gives 34995005448.

It is not an unprimeable number, because it can be changed into a prime (34995005443) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 275551161 + ... + 275551287.

It is an arithmetic number, because the mean of its divisors is an integer number (212889600).

Almost surely, 234995005448 is an apocalyptic number.

34995005448 is a gapful number since it is divisible by the number (38) 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 34995005448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54499737600).

34995005448 is an abundant number, since it is smaller than the sum of its proper divisors (74004469752).

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

34995005448 is a wasteful number, since it uses less digits than its factorization.

34995005448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 34995005448 in words is "thirty-four billion, nine hundred ninety-five million, five thousand, four hundred forty-eight".