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34344306 = 23241173269
BaseRepresentation
bin1000001100000…
…0110101110010
32101121212112100
42003000311302
532243004211
63224041230
7564631113
oct203006562
971555470
1034344306
1118428427
12b603216
137166499
1447c020a
153036156
hex20c0d72

34344306 has 48 divisors (see below), whose sum is σ = 76953240. Its totient is φ = 11063040.

The previous prime is 34344269. The next prime is 34344307. The reversal of 34344306 is 60344343.

It can be written as a sum of positive squares in 4 ways, for example, as 20169081 + 14175225 = 4491^2 + 3765^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34344306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34344307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127540 + ... + 127808.

Almost surely, 234344306 is an apocalyptic number.

34344306 is an abundant number, since it is smaller than the sum of its proper divisors (42608934).

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

34344306 is a wasteful number, since it uses less digits than its factorization.

34344306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 34344306 is about 5860.4015220802. The cubic root of 34344306 is about 325.0510562786.

Adding to 34344306 its reverse (60344343), we get a palindrome (94688649).

The spelling of 34344306 in words is "thirty-four million, three hundred forty-four thousand, three hundred six".

Divisors: 1 2 3 6 9 18 41 82 123 173 246 269 346 369 519 538 738 807 1038 1557 1614 2421 3114 4842 7093 11029 14186 21279 22058 33087 42558 46537 63837 66174 93074 99261 127674 139611 198522 279222 418833 837666 1908017 3816034 5724051 11448102 17172153 34344306