Search a number
-
+
3413672012 = 22171929312939
BaseRepresentation
bin1100101101111000…
…1000000001001100
322210220102111122202
43023132020001030
523442400001022
61322422501032
7150410506352
oct31336100114
98726374582
103413672012
1114a1a24343
127b3294778
13425301b8a
142455297d2
1514ea58592
hexcb78804c

3413672012 has 96 divisors (see below), whose sum is σ = 7112448000. Its totient is φ = 1421521920.

The previous prime is 3413672011. The next prime is 3413672023. The reversal of 3413672012 is 2102763143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (3413672011) by changing a digit.

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, 1160039 + ... + 1162977.

It is an arithmetic number, because the mean of its divisors is an integer number (74088000).

Almost surely, 23413672012 is an apocalyptic number.

It is an amenable number.

3413672012 is an abundant number, since it is smaller than the sum of its proper divisors (3698775988).

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

3413672012 is a wasteful number, since it uses less digits than its factorization.

3413672012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 3413672012 is about 58426.6378632213. The cubic root of 3413672012 is about 1505.7074428170.

The spelling of 3413672012 in words is "three billion, four hundred thirteen million, six hundred seventy-two thousand, twelve".

Divisors: 1 2 4 17 19 29 31 34 38 58 62 68 76 116 124 323 493 527 551 589 646 899 986 1054 1102 1178 1292 1798 1972 2108 2204 2356 2939 3596 5878 9367 10013 11756 15283 17081 18734 20026 30566 34162 37468 40052 49963 55841 61132 68324 85231 91109 99926 111682 170462 182218 199852 223364 290377 340924 364436 580754 949297 1161508 1448927 1548853 1619389 1731071 1898594 2642161 2897854 3097706 3238778 3462142 3797188 5284322 5795708 6195412 6477556 6924284 10568644 27529613 29428207 44916737 50201059 55059226 58856414 89833474 100402118 110118452 117712828 179666948 200804236 853418003 1706836006 3413672012