Search a number
-
+
34421310 = 23257114967
BaseRepresentation
bin1000001101001…
…1101000111110
32101202210011100
42003103220332
532302440220
63225433530
7565401450
oct203235076
971683140
1034421310
1118480270
12b63b8a6
137192551
1448002d0
15304dd90
hex20d3a3e

34421310 has 96 divisors (see below), whose sum is σ = 111601152. Its totient is φ = 7151040.

The previous prime is 34421251. The next prime is 34421329. The reversal of 34421310 is 1312443.

34421310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×344213102 = 2369653164232200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4447 + ... + 9413.

It is an arithmetic number, because the mean of its divisors is an integer number (1162512).

Almost surely, 234421310 is an apocalyptic number.

34421310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34421310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55800576).

34421310 is an abundant number, since it is smaller than the sum of its proper divisors (77179842).

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

34421310 is a wasteful number, since it uses less digits than its factorization.

34421310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998 (or 4995 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34421310 is about 5866.9677006099. The cubic root of 34421310 is about 325.2938092587.

Adding to 34421310 its reverse (1312443), we get a palindrome (35733753).

The spelling of 34421310 in words is "thirty-four million, four hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 4967 6930 9934 14901 24835 29802 34769 44703 49670 54637 69538 74505 89406 104307 109274 149010 163911 173845 208614 223515 273185 312921 327822 347690 382459 447030 491733 521535 546370 625842 764918 819555 983466 1043070 1147377 1564605 1639110 1912295 2294754 2458665 3129210 3442131 3824590 4917330 5736885 6884262 11473770 17210655 34421310