Search a number
-
+
34043136 = 283192333
BaseRepresentation
bin1000000111011…
…1010100000000
32101001120101220
42001313110000
532203340021
63213355040
7562235061
oct201672400
971046356
1034043136
1118242126
12b498a80
13708c38a
144742568
152ec6cc6
hex2077500

34043136 has 72 divisors (see below), whose sum is σ = 95413920. Its totient is φ = 10745856.

The previous prime is 34043099. The next prime is 34043137. The reversal of 34043136 is 63134043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34043137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13426 + ... + 15758.

Almost surely, 234043136 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 34043136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47706960).

34043136 is an abundant number, since it is smaller than the sum of its proper divisors (61370784).

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

34043136 is a wasteful number, since it uses less digits than its factorization.

34043136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 34043136 is about 5834.6496038751. The cubic root of 34043136 is about 324.0981260477.

Adding to 34043136 its reverse (63134043), we get a palindrome (97177179).

The spelling of 34043136 in words is "thirty-four million, forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2333 2432 3648 4666 4864 6999 7296 9332 13998 14592 18664 27996 37328 44327 55992 74656 88654 111984 132981 149312 177308 223968 265962 298624 354616 447936 531924 597248 709232 895872 1063848 1418464 1791744 2127696 2836928 4255392 5673856 8510784 11347712 17021568 34043136