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2034348960 = 253573119531
BaseRepresentation
bin111100101000001…
…1011001110100000
312020202222122010210
41321100123032200
513131243131320
6533511054120
7101261452350
oct17120331640
95222878123
102034348960
11954378536
12489371340
132656129a7
1415427ab60
15bd8ea0e0
hex7941b3a0

2034348960 has 192 divisors, whose sum is σ = 7560290304. Its totient is φ = 449971200.

The previous prime is 2034348959. The next prime is 2034348977. The reversal of 2034348960 is 698434302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94395 + ... + 113925.

It is an arithmetic number, because the mean of its divisors is an integer number (39376512).

Almost surely, 22034348960 is an apocalyptic number.

2034348960 is a gapful number since it is divisible by the number (20) 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 2034348960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780145152).

2034348960 is an abundant number, since it is smaller than the sum of its proper divisors (5525941344).

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

2034348960 is a wasteful number, since it uses less digits than its factorization.

2034348960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19587 (or 19579 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 2034348960 is about 45103.7577148512. The cubic root of 2034348960 is about 1267.0929768494.

The spelling of 2034348960 in words is "two billion, thirty-four million, three hundred forty-eight thousand, nine hundred sixty".