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2345420448 = 2536753271
BaseRepresentation
bin1000101111001100…
…0100011010100000
320001110022201000000
42023303010122200
514300411423243
61024422300000
7112056513330
oct21363043240
96043281000
102345420448
11aa3a24108
12555587600
132b4bb8c67
141836d30c0
15dad945d3
hex8bcc46a0

2345420448 has 336 divisors, whose sum is σ = 8091207936. Its totient is φ = 655050240.

The previous prime is 2345420447. The next prime is 2345420449. The reversal of 2345420448 is 8440245432.

It is an interprime number because it is at equal distance from previous prime (2345420447) and next prime (2345420449).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (2345420447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8654553 + ... + 8654823.

It is an arithmetic number, because the mean of its divisors is an integer number (24080976).

Almost surely, 22345420448 is an apocalyptic number.

2345420448 is a gapful number since it is divisible by the number (28) 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 2345420448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045603968).

2345420448 is an abundant number, since it is smaller than the sum of its proper divisors (5745787488).

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

2345420448 is an equidigital number, since it uses as much as digits as its factorization.

2345420448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The square root of 2345420448 is about 48429.5410674105. The cubic root of 2345420448 is about 1328.6387126917.

The spelling of 2345420448 in words is "two billion, three hundred forty-five million, four hundred twenty thousand, four hundred forty-eight".