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34541010 = 23257109503
BaseRepresentation
bin1000001111000…
…0110111010010
32101222212100200
42003300313102
532320303020
63232200030
7566410440
oct203606722
971885320
1034541010
1118552199
12b699016
137204b8a
144831b90
153074590
hex20f0dd2

34541010 has 96 divisors (see below), whose sum is σ = 103783680. Its totient is φ = 7807104.

The previous prime is 34540973. The next prime is 34541011. The reversal of 34541010 is 1014543.

It is a happy number.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (34541011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68419 + ... + 68921.

It is an arithmetic number, because the mean of its divisors is an integer number (1081080).

Almost surely, 234541010 is an apocalyptic number.

34541010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34541010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

34541010 is an abundant number, since it is smaller than the sum of its proper divisors (69242670).

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

34541010 is a wasteful number, since it uses less digits than its factorization.

34541010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 34541010 is about 5877.1600284491. The cubic root of 34541010 is about 325.6704424234.

Adding to 34541010 its reverse (1014543), we get a palindrome (35555553).

The spelling of 34541010 in words is "thirty-four million, five hundred forty-one thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 109 126 210 218 315 327 503 545 630 654 763 981 1006 1090 1509 1526 1635 1962 2289 2515 3018 3270 3521 3815 4527 4578 4905 5030 6867 7042 7545 7630 9054 9810 10563 11445 13734 15090 17605 21126 22635 22890 31689 34335 35210 45270 52815 54827 63378 68670 105630 109654 158445 164481 274135 316890 328962 383789 493443 548270 767578 822405 986886 1151367 1644810 1918945 2302734 2467215 3454101 3837890 4934430 5756835 6908202 11513670 17270505 34541010