Search a number
-
+
2345071392 = 253317434779
BaseRepresentation
bin1000101111000110…
…1111001100100000
320001102122222012000
42023301233030200
514300314241032
61024411004000
7112053530556
oct21361571440
96042588160
102345071392
11aa3805934
12555439600
132b4ac6111
14183641bd6
15dad25e7c
hex8bc6f320

2345071392 has 384 divisors, whose sum is σ = 7664025600. Its totient is φ = 694407168.

The previous prime is 2345071381. The next prime is 2345071403. The reversal of 2345071392 is 2931705432.

It is an interprime number because it is at equal distance from previous prime (2345071381) and next prime (2345071403).

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 63 ways as a sum of consecutive naturals, for example, 29684409 + ... + 29684487.

It is an arithmetic number, because the mean of its divisors is an integer number (19958400).

Almost surely, 22345071392 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 2345071392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832012800).

2345071392 is an abundant number, since it is smaller than the sum of its proper divisors (5318954208).

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

2345071392 is a wasteful number, since it uses less digits than its factorization.

2345071392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2345071392 is about 48425.9371824645. The cubic root of 2345071392 is about 1328.5727980958.

The spelling of 2345071392 in words is "two billion, three hundred forty-five million, seventy-one thousand, three hundred ninety-two".