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2734057152 = 26353153107
BaseRepresentation
bin1010001011110110…
…0110011011000000
321001112121111100000
42202331212123000
521044404312102
61131144200000
7124516050051
oct24275463300
97045544300
102734057152
111183338672
12643769000
1334757c2c8
141bd17a728
1511006101c
hexa2f666c0

2734057152 has 336 divisors, whose sum is σ = 8627254272. Its totient is φ = 857226240.

The previous prime is 2734057111. The next prime is 2734057153. The reversal of 2734057152 is 2517504372.

2734057152 is a `hidden beast` number, since 2 + 7 + 34 + 0 + 571 + 52 = 666.

It is a super-2 number, since 2×27340571522 = 14950137020804702208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2734057153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25551883 + ... + 25551989.

It is an arithmetic number, because the mean of its divisors is an integer number (25676352).

Almost surely, 22734057152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2734057152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313627136).

2734057152 is an abundant number, since it is smaller than the sum of its proper divisors (5893197120).

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

2734057152 is a wasteful number, since it uses less digits than its factorization.

2734057152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 2734057152 is about 52288.2123618699. The cubic root of 2734057152 is about 1398.3069929433.

The spelling of 2734057152 in words is "two billion, seven hundred thirty-four million, fifty-seven thousand, one hundred fifty-two".