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3114132 = 2237131283
BaseRepresentation
bin1011111000010010010100
312212012210020
423320102110
51244123012
6150425140
735320050
oct13702224
95765706
103114132
11183776a
1210621b0
138505a8
145b0c60
15417a8c
hex2f8494

3114132 has 48 divisors (see below), whose sum is σ = 8397312. Its totient is φ = 879840.

The previous prime is 3114109. The next prime is 3114143. The reversal of 3114132 is 2314113.

It is a super-2 number, since 2×31141322 = 19395636226848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10863 + ... + 11145.

It is an arithmetic number, because the mean of its divisors is an integer number (174944).

Almost surely, 23114132 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 3114132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198656).

3114132 is an abundant number, since it is smaller than the sum of its proper divisors (5283180).

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

3114132 is a wasteful number, since it uses less digits than its factorization.

3114132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 426 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 3114132 is about 1764.6903411080. The cubic root of 3114132 is about 146.0312061899.

Adding to 3114132 its reverse (2314113), we get a palindrome (5428245).

The spelling of 3114132 in words is "three million, one hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 283 393 524 566 786 849 917 1132 1572 1698 1834 1981 2751 3396 3668 3962 5502 5943 7924 11004 11886 23772 37073 74146 111219 148292 222438 259511 444876 519022 778533 1038044 1557066 3114132