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3012132032 = 267133111663
BaseRepresentation
bin1011001110001001…
…0111110011000000
321202220212011100122
42303202113303000
522132101211112
61214520235412
7134433462020
oct26342276300
97686764318
103012132032
1113062a7418
1270090bb68
13390071660
14208083a80
1512968d872
hexb3897cc0

3012132032 has 112 divisors (see below), whose sum is σ = 7384645632. Its totient is φ = 1187066880.

The previous prime is 3012132031. The next prime is 3012132041. The reversal of 3012132032 is 2302312103.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 3012132032.

It is not an unprimeable number, because it can be changed into a prime (3012132031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1810433 + ... + 1812095.

It is an arithmetic number, because the mean of its divisors is an integer number (65934336).

Almost surely, 23012132032 is an apocalyptic number.

3012132032 is a gapful number since it is divisible by the number (32) 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 3012132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692322816).

3012132032 is an abundant number, since it is smaller than the sum of its proper divisors (4372513600).

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

3012132032 is a wasteful number, since it uses less digits than its factorization.

3012132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 3012132032 is about 54882.8938012565. The cubic root of 3012132032 is about 1444.1911129970.

Adding to 3012132032 its reverse (2302312103), we get a palindrome (5314444135).

The spelling of 3012132032 in words is "three billion, twelve million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 311 364 416 448 622 728 832 1244 1456 1663 2177 2488 2912 3326 4043 4354 4976 5824 6652 8086 8708 9952 11641 13304 16172 17416 19904 21619 23282 26608 28301 32344 34832 43238 46564 53216 56602 64688 69664 86476 93128 106432 113204 129376 139328 151333 172952 186256 226408 258752 302666 345904 372512 452816 517193 605332 691808 745024 905632 1034386 1210664 1383616 1811264 2068772 2421328 3620351 4137544 4842656 6723509 7240702 8275088 9685312 13447018 14481404 16550176 26894036 28962808 33100352 47064563 53788072 57925616 94129126 107576144 115851232 188258252 215152288 231702464 376516504 430304576 753033008 1506066016 3012132032