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34231020 = 223529103191
BaseRepresentation
bin1000001010010…
…1001011101100
32101102010010120
42002211023230
532230343040
63221404540
7563646615
oct202451354
971363116
1034231020
11183602aa
12b569750
137126a55
144790c0c
1530127d0
hex20a52ec

34231020 has 96 divisors (see below), whose sum is σ = 100638720. Its totient is φ = 8682240.

The previous prime is 34231019. The next prime is 34231051. The reversal of 34231020 is 2013243.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 179125 + ... + 179315.

It is an arithmetic number, because the mean of its divisors is an integer number (1048320).

Almost surely, 234231020 is an apocalyptic number.

34231020 is a gapful number since it is divisible by the number (30) 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 34231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50319360).

34231020 is an abundant number, since it is smaller than the sum of its proper divisors (66407700).

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

34231020 is a wasteful number, since it uses less digits than its factorization.

34231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 34231020 is about 5850.7281598105. The cubic root of 34231020 is about 324.6932648349.

Adding to 34231020 its reverse (2013243), we get a palindrome (36244263).

The spelling of 34231020 in words is "thirty-four million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 103 116 145 174 191 206 290 309 348 382 412 435 515 573 580 618 764 870 955 1030 1146 1236 1545 1740 1910 2060 2292 2865 2987 3090 3820 5539 5730 5974 6180 8961 11078 11460 11948 14935 16617 17922 19673 22156 27695 29870 33234 35844 39346 44805 55390 59019 59740 66468 78692 83085 89610 98365 110780 118038 166170 179220 196730 236076 295095 332340 393460 570517 590190 1141034 1180380 1711551 2282068 2852585 3423102 5705170 6846204 8557755 11410340 17115510 34231020