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34660542 = 2372313803
BaseRepresentation
bin1000010000111…
…0000010111110
32102012221022210
42010032002332
532333114132
63234521250
7600416100
oct204160276
972187283
1034660542
1118623a84
12b736226
1372473c7
144863570
153099bcc
hex210e0be

34660542 has 48 divisors (see below), whose sum is σ = 83261952. Its totient is φ = 9581040.

The previous prime is 34660531. The next prime is 34660543. The reversal of 34660542 is 24506643.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34660543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7213 + ... + 11015.

It is an arithmetic number, because the mean of its divisors is an integer number (1734624).

Almost surely, 234660542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34660542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41630976).

34660542 is an abundant number, since it is smaller than the sum of its proper divisors (48601410).

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

34660542 is a wasteful number, since it uses less digits than its factorization.

34660542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853 (or 3846 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 34660542 is about 5887.3204431218. The cubic root of 34660542 is about 326.0456796742.

The spelling of 34660542 in words is "thirty-four million, six hundred sixty thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1302 1519 3038 3803 4557 7606 9114 11409 22818 26621 53242 79863 117893 159726 186347 235786 353679 372694 559041 707358 825251 1118082 1650502 2475753 4951506 5776757 11553514 17330271 34660542