Search a number
-
+
3410122020 = 2235378211871
BaseRepresentation
bin1100101101000010…
…0101010100100100
322210122202010222120
43023100211110210
523440442401040
61322214425540
7150335362464
oct31320452444
98718663876
103410122020
11149aa1a168
127b20622b0
1342465b0a6
14244c83ba4
1514e5a67d0
hexcb425524

3410122020 has 96 divisors (see below), whose sum is σ = 9823597056. Its totient is φ = 883238400.

The previous prime is 3410122013. The next prime is 3410122031. The reversal of 3410122020 is 202210143.

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

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 31 ways as a sum of consecutive naturals, for example, 1821685 + ... + 1823555.

It is an arithmetic number, because the mean of its divisors is an integer number (102329136).

Almost surely, 23410122020 is an apocalyptic number.

3410122020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3410122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4911798528).

3410122020 is an abundant number, since it is smaller than the sum of its proper divisors (6413475036).

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

3410122020 is a wasteful number, since it uses less digits than its factorization.

3410122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2739 counting only the distinct ones).

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

The square root of 3410122020 is about 58396.2500508380. The cubic root of 3410122020 is about 1505.1853165621.

Adding to 3410122020 its reverse (202210143), we get a palindrome (3612332163).

The spelling of 3410122020 in words is "three billion, four hundred ten million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 821 1110 1642 1871 2220 2463 3284 3742 4105 4926 5613 7484 8210 9355 9852 11226 12315 16420 18710 22452 24630 28065 30377 37420 49260 56130 60754 69227 91131 112260 121508 138454 151885 182262 207681 276908 303770 346135 364524 415362 455655 607540 692270 830724 911310 1038405 1384540 1536091 1822620 2076810 3072182 4153620 4608273 6144364 7680455 9216546 15360910 18433092 23041365 30721820 46082730 56835367 92165460 113670734 170506101 227341468 284176835 341012202 568353670 682024404 852530505 1136707340 1705061010 3410122020