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34500354 = 237371492
BaseRepresentation
bin1000001110011…
…0111100000010
32101220210120220
42003212330002
532313002404
63231243510
7566151060
oct203467402
971823526
1034500354
1118524699
12b679596
1371bc515
144821030
1530674d9
hex20e6f02

34500354 has 48 divisors (see below), whose sum is σ = 81536448. Its totient is φ = 9526464.

The previous prime is 34500313. The next prime is 34500359. The reversal of 34500354 is 45300543.

It is a happy number.

It is a super-2 number, since 2×345003542 = 2380548852250632, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34500359) 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, 231472 + ... + 231620.

It is an arithmetic number, because the mean of its divisors is an integer number (1698676).

Almost surely, 234500354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34500354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40768224).

34500354 is an abundant number, since it is smaller than the sum of its proper divisors (47036094).

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

34500354 is a wasteful number, since it uses less digits than its factorization.

34500354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 34500354 is about 5873.7001966393. The cubic root of 34500354 is about 325.5426170188.

Adding to 34500354 its reverse (45300543), we get a palindrome (79800897).

The spelling of 34500354 in words is "thirty-four million, five hundred thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 149 222 259 298 447 518 777 894 1043 1554 2086 3129 5513 6258 11026 16539 22201 33078 38591 44402 66603 77182 115773 133206 155407 231546 310814 466221 821437 932442 1642874 2464311 4928622 5750059 11500118 17250177 34500354