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3004113132 = 2232294170183
BaseRepresentation
bin1011001100001111…
…0010000011101100
321202100202202111100
42303003302003230
522123023110012
61214032323100
7134305353216
oct26303620354
97670682440
103004113132
11130181a729
126ba0a3490
1338b4c4747
14206d975b6
15128b078dc
hexb30f20ec

3004113132 has 72 divisors (see below), whose sum is σ = 8047297440. Its totient is φ = 943246080.

The previous prime is 3004113127. The next prime is 3004113157. The reversal of 3004113132 is 2313114003.

It is a super-3 number, since 3×30041131323 (a number of 29 digits) contains 333 as substring.

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

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, 7713 + ... + 77895.

It is an arithmetic number, because the mean of its divisors is an integer number (111768020).

Almost surely, 23004113132 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 3004113132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023648720).

3004113132 is an abundant number, since it is smaller than the sum of its proper divisors (5043184308).

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

3004113132 is a wasteful number, since it uses less digits than its factorization.

3004113132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70263 (or 70258 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3004113132 is about 54809.7904757900. The cubic root of 3004113132 is about 1442.9083985116.

Adding to 3004113132 its reverse (2313114003), we get a palindrome (5317227135).

The spelling of 3004113132 in words is "three billion, four million, one hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 41 58 82 87 116 123 164 174 246 261 348 369 492 522 738 1044 1189 1476 2378 3567 4756 7134 10701 14268 21402 42804 70183 140366 210549 280732 421098 631647 842196 1263294 2035307 2526588 2877503 4070614 5755006 6105921 8141228 8632509 11510012 12211842 17265018 18317763 24423684 25897527 34530036 36635526 51795054 73271052 83447587 103590108 166895174 250342761 333790348 500685522 751028283 1001371044 1502056566 3004113132