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345212280 = 23345731491
BaseRepresentation
bin10100100100111…
…000010101111000
3220001120121020000
4110210320111320
51201333243110
654131033000
711361153540
oct2444702570
9801517200
10345212280
11167955106
129773b760
135669ac2a
1433bc2320
15204901c0
hex14938578

345212280 has 320 divisors, whose sum is σ = 1371617280. Its totient is φ = 76204800.

The previous prime is 345212269. The next prime is 345212297. The reversal of 345212280 is 82212543.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 702835 + ... + 703325.

It is an arithmetic number, because the mean of its divisors is an integer number (4286304).

Almost surely, 2345212280 is an apocalyptic number.

345212280 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 345212280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685808640).

345212280 is an abundant number, since it is smaller than the sum of its proper divisors (1026405000).

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

345212280 is a wasteful number, since it uses less digits than its factorization.

345212280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 345212280 is about 18579.8891277639. The cubic root of 345212280 is about 701.5017283798.

The spelling of 345212280 in words is "three hundred forty-five million, two hundred twelve thousand, two hundred eighty".