Search a number
-
+
34301220 = 22353715451
BaseRepresentation
bin1000001011011…
…0010100100100
32101112200102120
42002312110210
532240114340
63223105540
7564361362
oct202662444
971480376
1034301220
11183a9018
12b5a22b0
13714c9a5
1447ac632
1530284d0
hex20b6524

34301220 has 48 divisors (see below), whose sum is σ = 98645568. Its totient is φ = 8899200.

The previous prime is 34301219. The next prime is 34301227. The reversal of 34301220 is 2210343.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34301220.

It is not an unprimeable number, because it can be changed into a prime (34301227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5506 + ... + 9945.

It is an arithmetic number, because the mean of its divisors is an integer number (2055116).

Almost surely, 234301220 is an apocalyptic number.

34301220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34301220 is an abundant number, since it is smaller than the sum of its proper divisors (64344348).

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

34301220 is a wasteful number, since it uses less digits than its factorization.

34301220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15500 (or 15498 counting only the distinct ones).

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

The square root of 34301220 is about 5856.7243404483. The cubic root of 34301220 is about 324.9150705102.

Adding to 34301220 its reverse (2210343), we get a palindrome (36511563).

The spelling of 34301220 in words is "thirty-four million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 15451 30902 46353 61804 77255 92706 154510 185412 231765 309020 463530 571687 927060 1143374 1715061 2286748 2858435 3430122 5716870 6860244 8575305 11433740 17150610 34301220