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34221040 = 2457531153
BaseRepresentation
bin1000001010001…
…0101111110000
32101101121102221
42002202233300
532230033130
63221250424
7563605540
oct202425760
971347387
1034221040
1118353857
12b563a14
137122349
14478b320
15300e87a
hex20a2bf0

34221040 has 80 divisors (see below), whose sum is σ = 92726208. Its totient is φ = 11501568.

The previous prime is 34221037. The next prime is 34221043. The reversal of 34221040 is 4012243.

It is an interprime number because it is at equal distance from previous prime (34221037) and next prime (34221043).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34221043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29104 + ... + 30256.

Almost surely, 234221040 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 34221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46363104).

34221040 is an abundant number, since it is smaller than the sum of its proper divisors (58505168).

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

34221040 is a wasteful number, since it uses less digits than its factorization.

34221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 34221040 is about 5849.8752123443. The cubic root of 34221040 is about 324.6617071644.

Adding to 34221040 its reverse (4012243), we get a palindrome (38233283).

The spelling of 34221040 in words is "thirty-four million, two hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 70 80 106 112 140 212 265 280 371 424 530 560 742 848 1060 1153 1484 1855 2120 2306 2968 3710 4240 4612 5765 5936 7420 8071 9224 11530 14840 16142 18448 23060 29680 32284 40355 46120 61109 64568 80710 92240 122218 129136 161420 244436 305545 322840 427763 488872 611090 645680 855526 977744 1222180 1711052 2138815 2444360 3422104 4277630 4888720 6844208 8555260 17110520 34221040