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345212544 = 2736911301
BaseRepresentation
bin10100100100111…
…000011010000000
3220001120121120210
4110210320122000
51201333300134
654131034120
711361154365
oct2444703200
9801517523
10345212544
11167955326
129773b940
135669b0a1
1433bc246c
15204902e9
hex14938680

345212544 has 64 divisors (see below), whose sum is σ = 919003680. Its totient is φ = 114816000.

The previous prime is 345212533. The next prime is 345212561. The reversal of 345212544 is 445212543.

345212544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264694 + ... + 265994.

Almost surely, 2345212544 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 345212544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459501840).

345212544 is an abundant number, since it is smaller than the sum of its proper divisors (573791136).

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

345212544 is a wasteful number, since it uses less digits than its factorization.

345212544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 1997 counting only the distinct ones).

The product of its digits is 19200, while the sum is 30.

The square root of 345212544 is about 18579.8962322183. The cubic root of 345212544 is about 701.5019072035.

Subtracting 345212544 from its reverse (445212543), we obtain a palindrome (99999999).

The spelling of 345212544 in words is "three hundred forty-five million, two hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 691 1301 1382 2073 2602 2764 3903 4146 5204 5528 7806 8292 10408 11056 15612 16584 20816 22112 31224 33168 41632 44224 62448 66336 83264 88448 124896 132672 166528 249792 265344 499584 898991 1797982 2696973 3595964 5393946 7191928 10787892 14383856 21575784 28767712 43151568 57535424 86303136 115070848 172606272 345212544