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345411444 = 223716724623
BaseRepresentation
bin10100100101101…
…000111101110100
3220001221201102110
4110211220331310
51201411131234
654135211020
711362643310
oct2445507564
9801851373
10345411444
11167a80804
1297816a70
135673a791
1433c34b40
15204ce1e9
hex14968f74

345411444 has 48 divisors (see below), whose sum is σ = 926650368. Its totient is φ = 98094048.

The previous prime is 345411419. The next prime is 345411503. The reversal of 345411444 is 444114543.

345411444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1717 + ... + 26339.

It is an arithmetic number, because the mean of its divisors is an integer number (19305216).

Almost surely, 2345411444 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 345411444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463325184).

345411444 is an abundant number, since it is smaller than the sum of its proper divisors (581238924).

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

345411444 is a wasteful number, since it uses less digits than its factorization.

345411444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24804 (or 24802 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 345411444 is about 18585.2480209439. The cubic root of 345411444 is about 701.6366087017.

Adding to 345411444 its reverse (444114543), we get a palindrome (789525987).

The spelling of 345411444 in words is "three hundred forty-five million, four hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 167 334 501 668 1002 1169 2004 2338 3507 4676 7014 14028 24623 49246 73869 98492 147738 172361 295476 344722 517083 689444 1034166 2068332 4112041 8224082 12336123 16448164 24672246 28784287 49344492 57568574 86352861 115137148 172705722 345411444