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34141024 = 2519233241
BaseRepresentation
bin1000001000111…
…1001101100000
32101020112200101
42002033031200
532220003044
63215432144
7563123341
oct202171540
971215611
1034141024
11182a9725
12b525654
1370c4ab8
14476a0c8
152ee5cd4
hex208f360

34141024 has 48 divisors (see below), whose sum is σ = 71351280. Its totient is φ = 16035840.

The previous prime is 34141001. The next prime is 34141057. The reversal of 34141024 is 42014143.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 34140992 and 34141010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141544 + ... + 141784.

It is an arithmetic number, because the mean of its divisors is an integer number (1486485).

Almost surely, 234141024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34141024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35675640).

34141024 is an abundant number, since it is smaller than the sum of its proper divisors (37210256).

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

34141024 is a wasteful number, since it uses less digits than its factorization.

34141024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 34141024 is about 5843.0320895918. The cubic root of 34141024 is about 324.4084671991.

Adding to 34141024 its reverse (42014143), we get a palindrome (76155167).

The spelling of 34141024 in words is "thirty-four million, one hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 233 241 304 466 482 608 932 964 1864 1928 3728 3856 4427 4579 7456 7712 8854 9158 17708 18316 35416 36632 56153 70832 73264 112306 141664 146528 224612 449224 898448 1066907 1796896 2133814 4267628 8535256 17070512 34141024