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34341020 = 22571747307
BaseRepresentation
bin1000001100000…
…0000010011100
32101121201000122
42003000002130
532242403040
63224014112
7564615410
oct203000234
971551018
1034341020
1118425a0a
12b601338
137164b3c
1447bcd40
1530351b5
hex20c009c

34341020 has 96 divisors (see below), whose sum is σ = 89413632. Its totient is φ = 10810368.

The previous prime is 34341011. The next prime is 34341023. The reversal of 34341020 is 2014343.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 34341020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34341023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111707 + ... + 112013.

It is an arithmetic number, because the mean of its divisors is an integer number (931392).

Almost surely, 234341020 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 34341020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44706816).

34341020 is an abundant number, since it is smaller than the sum of its proper divisors (55072612).

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

34341020 is a wasteful number, since it uses less digits than its factorization.

34341020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 34341020 is about 5860.1211591570. The cubic root of 34341020 is about 325.0406891857.

Adding to 34341020 its reverse (2014343), we get a palindrome (36355363).

The spelling of 34341020 in words is "thirty-four million, three hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 47 68 70 85 94 119 140 170 188 235 238 307 329 340 470 476 595 614 658 799 940 1190 1228 1316 1535 1598 1645 2149 2380 3070 3196 3290 3995 4298 5219 5593 6140 6580 7990 8596 10438 10745 11186 14429 15980 20876 21490 22372 26095 27965 28858 36533 42980 52190 55930 57716 72145 73066 101003 104380 111860 144290 146132 182665 202006 245293 288580 365330 404012 490586 505015 730660 981172 1010030 1226465 1717051 2020060 2452930 3434102 4905860 6868204 8585255 17170510 34341020