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3354670836 = 22331124111717
BaseRepresentation
bin1100011111110100…
…0011011011110100
322122210101221021000
43013331003123310
523332243431321
61312514123300
7146063142306
oct30775033364
98583357230
103354670836
111471695940
12797580530
1341601473a
1423b76b976
151497a1826
hexc7f436f4

3354670836 has 96 divisors (see below), whose sum is σ = 9528140160. Its totient is φ = 1012262400.

The previous prime is 3354670807. The next prime is 3354670871. The reversal of 3354670836 is 6380764533.

3354670836 is a `hidden beast` number, since 3 + 3 + 546 + 70 + 8 + 36 = 666.

It is a super-2 number, since 2×33546708362 = 22507632835817877792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3354670791 and 3354670800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280450 + ... + 292166.

It is an arithmetic number, because the mean of its divisors is an integer number (99251460).

Almost surely, 23354670836 is an apocalyptic number.

3354670836 is a gapful number since it is divisible by the number (36) 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 3354670836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4764070080).

3354670836 is an abundant number, since it is smaller than the sum of its proper divisors (6173469324).

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

3354670836 is a wasteful number, since it uses less digits than its factorization.

3354670836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11982 (or 11974 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 3354670836 is about 57919.5203364116. The cubic root of 3354670836 is about 1496.9822046792.

The spelling of 3354670836 in words is "three billion, three hundred fifty-four million, six hundred seventy thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 241 297 396 482 594 723 964 1188 1446 2169 2651 2892 4338 5302 6507 7953 8676 10604 11717 13014 15906 23434 23859 26028 31812 35151 46868 47718 70302 71577 95436 105453 128887 140604 143154 210906 257774 286308 316359 386661 421812 515548 632718 773322 1159983 1265436 1546644 2319966 2823797 3479949 4639932 5647594 6959898 8471391 11295188 13919796 16942782 25414173 31061767 33885564 50828346 62123534 76242519 93185301 101656692 124247068 152485038 186370602 279555903 304970076 372741204 559111806 838667709 1118223612 1677335418 3354670836