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2734051320 = 2335571113281
BaseRepresentation
bin1010001011110110…
…0100111111111000
321001112121012100000
42202331210333320
521044404120240
61131144113000
7124516024050
oct24275447770
97045535300
102734051320
111183334250
12643765760
13347579760
141bd178560
1511005e430
hexa2f64ff8

2734051320 has 768 divisors, whose sum is σ = 12416302080. Its totient is φ = 522547200.

The previous prime is 2734051319. The next prime is 2734051321. The reversal of 2734051320 is 231504372.

It is an interprime number because it is at equal distance from previous prime (2734051319) and next prime (2734051321).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2734051321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9729580 + ... + 9729860.

It is an arithmetic number, because the mean of its divisors is an integer number (16167060).

Almost surely, 22734051320 is an apocalyptic number.

2734051320 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 2734051320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6208151040).

2734051320 is an abundant number, since it is smaller than the sum of its proper divisors (9682250760).

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

2734051320 is a wasteful number, since it uses less digits than its factorization.

2734051320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2734051320 is about 52288.1565940128. The cubic root of 2734051320 is about 1398.3059987026.

Adding to 2734051320 its reverse (231504372), we get a palindrome (2965555692).

The spelling of 2734051320 in words is "two billion, seven hundred thirty-four million, fifty-one thousand, three hundred twenty".