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2034570384 = 2432711281653
BaseRepresentation
bin111100101000101…
…0001010010010000
312020210101212212200
41321101101102100
513131322223014
6533515523200
7101263364040
oct17121212220
95223355780
102034570384
11954509930
12489459500
1326568c702
141542d7720
15bd940a09
hex79451490

2034570384 has 240 divisors, whose sum is σ = 7135150464. Its totient is φ = 525772800.

The previous prime is 2034570359. The next prime is 2034570449. The reversal of 2034570384 is 4830754302.

It is a happy number.

2034570384 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 570 + 3 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3115402 + ... + 3116054.

Almost surely, 22034570384 is an apocalyptic number.

2034570384 is a gapful number since it is divisible by the number (24) 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 2034570384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567575232).

2034570384 is an abundant number, since it is smaller than the sum of its proper divisors (5100580080).

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

2034570384 is a wasteful number, since it uses less digits than its factorization.

2034570384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2034570384 is about 45106.2122550764. The cubic root of 2034570384 is about 1267.1389464482.

The spelling of 2034570384 in words is "two billion, thirty-four million, five hundred seventy thousand, three hundred eighty-four".