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34301142 = 23223292857
BaseRepresentation
bin1000001011011…
…0010011010110
32101112200022200
42002312103112
532240114032
63223105330
7564361221
oct202662326
971480280
1034301142
11183a8a57
12b5a2246
13714c945
1447ac5b8
15302847c
hex20b64d6

34301142 has 48 divisors (see below), whose sum is σ = 80252640. Its totient is φ = 10555776.

The previous prime is 34301131. The next prime is 34301147. The reversal of 34301142 is 24110343.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34301147) 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, 10578 + ... + 13434.

It is an arithmetic number, because the mean of its divisors is an integer number (1671930).

Almost surely, 234301142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34301142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40126320).

34301142 is an abundant number, since it is smaller than the sum of its proper divisors (45951498).

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

34301142 is a wasteful number, since it uses less digits than its factorization.

34301142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34301142 is about 5856.7176814322. The cubic root of 34301142 is about 324.9148242275.

Adding to 34301142 its reverse (24110343), we get a palindrome (58411485).

It can be divided in two parts, 34301 and 142, that added together give a palindrome (34443).

The spelling of 34301142 in words is "thirty-four million, three hundred one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 29 46 58 69 87 138 174 207 261 414 522 667 1334 2001 2857 4002 5714 6003 8571 12006 17142 25713 51426 65711 82853 131422 165706 197133 248559 394266 497118 591399 745677 1182798 1491354 1905619 3811238 5716857 11433714 17150571 34301142