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34868237040 = 243257133117167
BaseRepresentation
bin100000011110010011…
…110001001011110000
310100000000201222010200
4200132103301023300
51032402232041130
624003535155200
72343032060520
oct403623611360
9110000658120
1034868237040
111387323562a
126911375b00
133398b3b930
14198ac0b680
15d91204760
hex81e4f12f0

34868237040 has 480 divisors, whose sum is σ = 148779810816. Its totient is φ = 7119083520.

The previous prime is 34868237021. The next prime is 34868237077. The reversal of 34868237040 is 4073286843.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2022537 + ... + 2039703.

Almost surely, 234868237040 is an apocalyptic number.

34868237040 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 34868237040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74389905408).

34868237040 is an abundant number, since it is smaller than the sum of its proper divisors (113911573776).

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

34868237040 is a wasteful number, since it uses less digits than its factorization.

34868237040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17237 (or 17228 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 34868237040 in words is "thirty-four billion, eight hundred sixty-eight million, two hundred thirty-seven thousand, forty".