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34012243420 = 22529212491619
BaseRepresentation
bin11111101011010010…
…011010010111011100
310020210101000222122021
4133223102122113130
51024124113242140
623343000225524
72312566204351
oct375322322734
9106711028567
1034012243420
111347402a991
12671276b2a4
1332906b252c
141909268628
15d40ebbb4a
hex7eb49a5dc

34012243420 has 72 divisors (see below), whose sum is σ = 74078550000. Its totient is φ = 13117138944.

The previous prime is 34012243411. The next prime is 34012243423. The reversal of 34012243420 is 2434221043.

It is a happy number.

It is a super-2 number, since 2×340122434202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34012243423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21007371 + ... + 21008989.

It is an arithmetic number, because the mean of its divisors is an integer number (1028868750).

Almost surely, 234012243420 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 34012243420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37039275000).

34012243420 is an abundant number, since it is smaller than the sum of its proper divisors (40066306580).

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

34012243420 is a wasteful number, since it uses less digits than its factorization.

34012243420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 34012243420 its reverse (2434221043), we get a palindrome (36446464463).

The spelling of 34012243420 in words is "thirty-four billion, twelve million, two hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 841 1249 1619 1682 2498 3238 3364 4205 4996 6245 6476 8095 8410 12490 16190 16820 24980 32380 36221 46951 72442 93902 144884 181105 187804 234755 362210 469510 724420 939020 1050409 1361579 2022131 2100818 2723158 4044262 4201636 5252045 5446316 6807895 8088524 10110655 10504090 13615790 20221310 21008180 27231580 40442620 58641799 117283598 234567196 293208995 586417990 1172835980 1700612171 3401224342 6802448684 8503060855 17006121710 34012243420