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34101420 = 22353715361
BaseRepresentation
bin1000001000010…
…1100010101100
32101011112100120
42002011202230
532212221140
63214524540
7562600023
oct202054254
971145316
1034101420
11182819a1
12b506750
1370aca72
1447598ba
152ed91d0
hex20858ac

34101420 has 48 divisors (see below), whose sum is σ = 98071008. Its totient is φ = 8847360.

The previous prime is 34101407. The next prime is 34101427. The reversal of 34101420 is 2410143.

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 34101420.

It is not an unprimeable number, because it can be changed into a prime (34101427) 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, 5461 + ... + 9900.

It is an arithmetic number, because the mean of its divisors is an integer number (2043146).

Almost surely, 234101420 is an apocalyptic number.

34101420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34101420 is an abundant number, since it is smaller than the sum of its proper divisors (63969588).

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

34101420 is a wasteful number, since it uses less digits than its factorization.

34101420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15410 (or 15408 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 34101420 is about 5839.6421123216. The cubic root of 34101420 is about 324.2829794180.

Adding to 34101420 its reverse (2410143), we get a palindrome (36511563).

The spelling of 34101420 in words is "thirty-four million, one hundred one thousand, four 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 15361 30722 46083 61444 76805 92166 153610 184332 230415 307220 460830 568357 921660 1136714 1705071 2273428 2841785 3410142 5683570 6820284 8525355 11367140 17050710 34101420