Search a number
-
+
2744012700 = 223452111323103
BaseRepresentation
bin1010001110001110…
…0100111110011100
321002020100021210000
42203203210332130
521104431401300
61132141414300
7124666503012
oct24343447634
97066307700
102744012700
111188a183a0
12646b6a390
13349656870
141c060c8b2
15110d7ac00
hexa38e4f9c

2744012700 has 720 divisors, whose sum is σ = 11010295296. Its totient is φ = 581644800.

The previous prime is 2744012693. The next prime is 2744012749. The reversal of 2744012700 is 72104472.

It is a happy number.

It is a super-2 number, since 2×27440127002 = 15059211395522580000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 26640849 + ... + 26640951.

Almost surely, 22744012700 is an apocalyptic number.

2744012700 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 2744012700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505147648).

2744012700 is an abundant number, since it is smaller than the sum of its proper divisors (8266282596).

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

2744012700 is a wasteful number, since it uses less digits than its factorization.

2744012700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 2744012700 is about 52383.3246367582. The cubic root of 2744012700 is about 1400.0021598606.

The spelling of 2744012700 in words is "two billion, seven hundred forty-four million, twelve thousand, seven hundred".