Search a number
-
+
3310023120 = 2435113122051
BaseRepresentation
bin1100010101001010…
…1111000111010000
322112200101121002220
43011102233013100
523234331214440
61304241141040
7145011506115
oct30522570720
98480347086
103310023120
1114494703a8
1278462a780
134099b1581
1423586890c
151458d28d0
hexc54af1d0

3310023120 has 80 divisors (see below), whose sum is σ = 10351962432. Its totient is φ = 874854400.

The previous prime is 3310023107. The next prime is 3310023137. The reversal of 3310023120 is 213200133.

It is a tau number, because it is divible by the number of its divisors (80).

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 3310023120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33906 + ... + 88145.

Almost surely, 23310023120 is an apocalyptic number.

3310023120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3310023120 is an abundant number, since it is smaller than the sum of its proper divisors (7041939312).

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

3310023120 is a wasteful number, since it uses less digits than its factorization.

3310023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122180 (or 122174 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3310023120 is about 57532.8003837811. The cubic root of 3310023120 is about 1490.3113503374.

Adding to 3310023120 its reverse (213200133), we get a palindrome (3523223253).

The spelling of 3310023120 in words is "three billion, three hundred ten million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 339 452 565 678 904 1130 1356 1695 1808 2260 2712 3390 4520 5424 6780 9040 13560 27120 122051 244102 366153 488204 610255 732306 976408 1220510 1464612 1830765 1952816 2441020 2929224 3661530 4882040 5858448 7323060 9764080 13791763 14646120 27583526 29292240 41375289 55167052 68958815 82750578 110334104 137917630 165501156 206876445 220668208 275835260 331002312 413752890 551670520 662004624 827505780 1103341040 1655011560 3310023120