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3413025132 = 22311473671499
BaseRepresentation
bin1100101101101110…
…1010000101101100
322210212012122022020
43023123222011230
523442213301012
61322400550140
7150402143406
oct31333520554
98725178266
103413025132
1114a1622330
127b3022350
134251365ca
142453dbb76
1514e97ba8c
hexcb6ea16c

3413025132 has 96 divisors (see below), whose sum is σ = 8902656000. Its totient is φ = 1008813120.

The previous prime is 3413025107. The next prime is 3413025149. The reversal of 3413025132 is 2315203143.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2276119 + ... + 2277617.

It is an arithmetic number, because the mean of its divisors is an integer number (92736000).

Almost surely, 23413025132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413025132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451328000).

3413025132 is an abundant number, since it is smaller than the sum of its proper divisors (5489630868).

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

3413025132 is a wasteful number, since it uses less digits than its factorization.

3413025132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3413025132 is about 58421.1017698229. The cubic root of 3413025132 is about 1505.6123278833.

Adding to 3413025132 its reverse (2315203143), we get a palindrome (5728228275).

The spelling of 3413025132 in words is "three billion, four hundred thirteen million, twenty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 367 517 564 734 1034 1101 1468 1499 1551 2068 2202 2998 3102 4037 4404 4497 5996 6204 8074 8994 12111 16148 16489 17249 17988 24222 32978 34498 48444 49467 51747 65956 68996 70453 98934 103494 140906 189739 197868 206988 211359 281812 379478 422718 550133 569217 758956 774983 845436 1100266 1138434 1549966 1650399 2200532 2276868 2324949 3099932 3300798 4649898 6051463 6601596 9299796 12102926 18154389 24205852 25856251 36308778 51712502 72617556 77568753 103425004 155137506 284418761 310275012 568837522 853256283 1137675044 1706512566 3413025132