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3473245440 = 2833573293
BaseRepresentation
bin1100111100000101…
…1000010100000000
322222001112011001000
43033001120110000
524103122323230
61332351412000
7152033046000
oct31701302400
98861464030
103473245440
111522613785
1280b224000
1343475c922
1424d3d6000
15154dc4b60
hexcf058500

3473245440 has 576 divisors, whose sum is σ = 14422464000. Its totient is φ = 791175168.

The previous prime is 3473245411. The next prime is 3473245441. The reversal of 3473245440 is 445423743.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 3473245395 and 3473245404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3473245441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11853934 + ... + 11854226.

It is an arithmetic number, because the mean of its divisors is an integer number (25039000).

Almost surely, 23473245440 is an apocalyptic number.

3473245440 is a gapful number since it is divisible by the number (30) 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 3473245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7211232000).

3473245440 is an abundant number, since it is smaller than the sum of its proper divisors (10949218560).

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

3473245440 is an equidigital number, since it uses as much as digits as its factorization.

3473245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The square root of 3473245440 is about 58934.2467500858. The cubic root of 3473245440 is about 1514.4158908924.

The spelling of 3473245440 in words is "three billion, four hundred seventy-three million, two hundred forty-five thousand, four hundred forty".