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3341004120 = 2332510618747
BaseRepresentation
bin1100011100100011…
…1010110101011000
322121211200121001100
43013020322311120
523320244112440
61311305151400
7145536031536
oct30710726530
98554617040
103341004120
111464a00933
12792a8b560
1341323ac1c
14239a11156
151484a2230
hexc723ad58

3341004120 has 96 divisors (see below), whose sum is σ = 10869739920. Its totient is φ = 889992960.

The previous prime is 3341004097. The next prime is 3341004157. The reversal of 3341004120 is 214001433.

3341004120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33410041202 = 22324617059713948800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3341004093 and 3341004102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377587 + ... + 386333.

Almost surely, 23341004120 is an apocalyptic number.

3341004120 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 3341004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5434869960).

3341004120 is an abundant number, since it is smaller than the sum of its proper divisors (7528735800).

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

3341004120 is a wasteful number, since it uses less digits than its factorization.

3341004120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9825 (or 9818 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3341004120 is about 57801.4197057477. The cubic root of 3341004120 is about 1494.9465676663.

Adding to 3341004120 its reverse (214001433), we get a palindrome (3555005553).

The spelling of 3341004120 in words is "three billion, three hundred forty-one million, four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1061 2122 3183 4244 5305 6366 8488 8747 9549 10610 12732 15915 17494 19098 21220 25464 26241 31830 34988 38196 42440 43735 47745 52482 63660 69976 76392 78723 87470 95490 104964 127320 131205 157446 174940 190980 209928 262410 314892 349880 381960 393615 524820 629784 787230 1049640 1574460 3148920 9280567 18561134 27841701 37122268 46402835 55683402 74244536 83525103 92805670 111366804 139208505 167050206 185611340 222733608 278417010 334100412 371222680 417625515 556834020 668200824 835251030 1113668040 1670502060 3341004120