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345201426 = 2352712621
BaseRepresentation
bin10100100100110…
…101101100010010
3220001120001100000
4110210311230102
51201332421201
654130510430
711361110103
oct2444655422
9801501300
10345201426
11167947a39
1297735416
1356695ccb
1433bbc3aa
152048bd86
hex14935b12

345201426 has 48 divisors (see below), whose sum is σ = 778796928. Its totient is φ = 114598800.

The previous prime is 345201421. The next prime is 345201431. The reversal of 345201426 is 624102543.

345201426 is a `hidden beast` number, since 34 + 5 + 201 + 426 = 666.

It is an interprime number because it is at equal distance from previous prime (345201421) and next prime (345201431).

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

It is a self number, because there is not a number n which added to its sum of digits gives 345201426.

It is not an unprimeable number, because it can be changed into a prime (345201421) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 130396 + ... + 133016.

It is an arithmetic number, because the mean of its divisors is an integer number (16224936).

Almost surely, 2345201426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345201426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389398464).

345201426 is an abundant number, since it is smaller than the sum of its proper divisors (433595502).

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

345201426 is a wasteful number, since it uses less digits than its factorization.

345201426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 345201426 is about 18579.5970354580. The cubic root of 345201426 is about 701.4943762084.

Adding to 345201426 its reverse (624102543), we get a palindrome (969303969).

The spelling of 345201426 in words is "three hundred forty-five million, two hundred one thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 271 486 542 813 1626 2439 2621 4878 5242 7317 7863 14634 15726 21951 23589 43902 47178 65853 70767 131706 141534 212301 424602 636903 710291 1273806 1420582 2130873 4261746 6392619 12785238 19177857 38355714 57533571 115067142 172600713 345201426