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425343744 = 2833759149
BaseRepresentation
bin11001010110100…
…011101100000000
31002122100200221000
4121112203230000
51332341444434
6110112332000
713353235140
oct3126435400
91078320830
10425343744
111a9106061
12ba544000
136a1760b7
14406c0920
152751cb99
hex195a3b00

425343744 has 288 divisors, whose sum is σ = 1471680000. Its totient is φ = 118665216.

The previous prime is 425343731. The next prime is 425343767. The reversal of 425343744 is 447343524.

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (161280) is a multiple of the sum of its prime factors (240).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 425343699 and 425343708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2854582 + ... + 2854730.

It is an arithmetic number, because the mean of its divisors is an integer number (5110000).

Almost surely, 2425343744 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 425343744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735840000).

425343744 is an abundant number, since it is smaller than the sum of its proper divisors (1046336256).

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

425343744 is a wasteful number, since it uses less digits than its factorization.

425343744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 220 counting only the distinct ones).

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

The square root of 425343744 is about 20623.8634595946. The cubic root of 425343744 is about 752.0499438687.

The spelling of 425343744 in words is "four hundred twenty-five million, three hundred forty-three thousand, seven hundred forty-four".