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345260448 = 25331359521
BaseRepresentation
bin10100100101000…
…100000110100000
3220001200001022000
4110211010012200
51201341313243
654132044000
711361444141
oct2445040640
9801601260
10345260448
11167988315
1297763600
13566b6b30
1433bd5ac8
152049e5d3
hex149441a0

345260448 has 192 divisors, whose sum is σ = 1104969600. Its totient is φ = 104232960.

The previous prime is 345260437. The next prime is 345260491. The reversal of 345260448 is 844062543.

345260448 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 604 + 48 = 666.

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 31 ways as a sum of consecutive naturals, for example, 662428 + ... + 662948.

It is an arithmetic number, because the mean of its divisors is an integer number (5755050).

Almost surely, 2345260448 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 345260448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552484800).

345260448 is an abundant number, since it is smaller than the sum of its proper divisors (759709152).

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

345260448 is a wasteful number, since it uses less digits than its factorization.

345260448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 345260448 is about 18581.1853227936. The cubic root of 345260448 is about 701.5343540672.

The spelling of 345260448 in words is "three hundred forty-five million, two hundred sixty thousand, four hundred forty-eight".