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3140077212 = 2233107281967
BaseRepresentation
bin1011101100101001…
…1100011010011100
322002211121110011000
42323022130122130
522412324432322
61235330430300
7140546134026
oct27312343234
98084543130
103140077212
111371545538
12737732390
133b071aa6c
1421b06b016
15135a133ac
hexbb29c69c

3140077212 has 96 divisors (see below), whose sum is σ = 8254794240. Its totient is φ = 1032151680.

The previous prime is 3140077189. The next prime is 3140077217. The reversal of 3140077212 is 2127700413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3140077217) by changing a digit.

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, 3246753 + ... + 3247719.

It is an arithmetic number, because the mean of its divisors is an integer number (85987440).

Almost surely, 23140077212 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 3140077212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127397120).

3140077212 is an abundant number, since it is smaller than the sum of its proper divisors (5114717028).

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

3140077212 is a wasteful number, since it uses less digits than its factorization.

3140077212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 3140077212 is about 56036.3918538658. The cubic root of 3140077212 is about 1464.3563530540.

Adding to 3140077212 its reverse (2127700413), we get a palindrome (5267777625).

The spelling of 3140077212 in words is "three billion, one hundred forty million, seventy-seven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 281 321 428 562 642 843 963 967 1124 1284 1686 1926 1934 2529 2889 2901 3372 3852 3868 5058 5778 5802 7587 8703 10116 11556 11604 15174 17406 26109 30067 30348 34812 52218 60134 90201 103469 104436 120268 180402 206938 270603 271727 310407 360804 413876 541206 543454 620814 811809 815181 931221 1082412 1086908 1241628 1623618 1630362 1862442 2445543 2793663 3247236 3260724 3724884 4891086 5587326 7336629 9782172 11174652 14673258 29074789 29346516 58149578 87224367 116299156 174448734 261673101 348897468 523346202 785019303 1046692404 1570038606 3140077212