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3434103020 = 22517101100003
BaseRepresentation
bin1100110010110000…
…0100000011101100
322212022212111201202
43030230010003230
524013112244040
61324432425032
7151046252105
oct31454040354
98768774652
103434103020
111502509477
127ba0a8178
1342960652a
142481273ac
15151742015
hexccb040ec

3434103020 has 48 divisors (see below), whose sum is σ = 7711508448. Its totient is φ = 1280025600.

The previous prime is 3434102999. The next prime is 3434103053. The reversal of 3434103020 is 203014343.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3434102983 and 3434103001.

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 15 ways as a sum of consecutive naturals, for example, 15662 + ... + 84341.

It is an arithmetic number, because the mean of its divisors is an integer number (160656426).

Almost surely, 23434103020 is an apocalyptic number.

It is an amenable number.

3434103020 is an abundant number, since it is smaller than the sum of its proper divisors (4277405428).

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

3434103020 is a wasteful number, since it uses less digits than its factorization.

3434103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100130 (or 100128 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3434103020 is about 58601.2202944614. The cubic root of 3434103020 is about 1508.7053827664.

Adding to 3434103020 its reverse (203014343), we get a palindrome (3637117363).

The spelling of 3434103020 in words is "three billion, four hundred thirty-four million, one hundred three thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 340 404 505 1010 1717 2020 3434 6868 8585 17170 34340 100003 200006 400012 500015 1000030 1700051 2000060 3400102 6800204 8500255 10100303 17000510 20200606 34001020 40401212 50501515 101003030 171705151 202006060 343410302 686820604 858525755 1717051510 3434103020