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34111044 = 22341117563
BaseRepresentation
bin1000001000011…
…1111001000100
32101012000120000
42002013321010
532213023134
63215041300
7562640052
oct202077104
971160500
1034111044
1118289150
12b510230
1370b4266
14475d1d2
152edbe99
hex2087e44

34111044 has 120 divisors (see below), whose sum is σ = 103184928. Its totient is φ = 9711360.

The previous prime is 34111043. The next prime is 34111073. The reversal of 34111044 is 44011143.

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

It is not an unprimeable number, because it can be changed into a prime (34111043) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60307 + ... + 60869.

Almost surely, 234111044 is an apocalyptic number.

34111044 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34111044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51592464).

34111044 is an abundant number, since it is smaller than the sum of its proper divisors (69073884).

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

34111044 is a wasteful number, since it uses less digits than its factorization.

34111044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 34111044 is about 5840.4660772921. The cubic root of 34111044 is about 324.3134826038.

Adding to 34111044 its reverse (44011143), we get a palindrome (78122187).

Subtracting 34111044 from its reverse (44011143), we obtain a palindrome (9900099).

The spelling of 34111044 in words is "thirty-four million, one hundred eleven thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 81 99 102 108 132 153 162 187 198 204 297 306 324 374 396 459 561 563 594 612 748 891 918 1122 1126 1188 1377 1683 1689 1782 1836 2244 2252 2754 3366 3378 3564 5049 5067 5508 6193 6732 6756 9571 10098 10134 12386 15147 15201 18579 19142 20196 20268 24772 28713 30294 30402 37158 38284 45603 55737 57426 60588 60804 74316 86139 91206 105281 111474 114852 167211 172278 182412 210562 222948 258417 315843 334422 344556 421124 501633 516834 631686 668844 775251 947529 1003266 1033668 1263372 1550502 1895058 2006532 2842587 3101004 3790116 5685174 8527761 11370348 17055522 34111044