Search a number
-
+
3149484312 = 2331315166851
BaseRepresentation
bin1011101110111001…
…0101000100011000
322010111022101021010
42323232111010120
522422231444222
61240304213520
7141022114002
oct27356250430
98114271233
103149484312
1113768901a7
1273a90a2a0
133b26627b0
1421c3d9372
1513677080c
hexbbb95118

3149484312 has 64 divisors (see below), whose sum is σ = 8535663360. Its totient is φ = 962640000.

The previous prime is 3149484301. The next prime is 3149484319. The reversal of 3149484312 is 2134849413.

3149484312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31494843122 = 19838502863068226688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3149484319) 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, 13687 + ... + 80537.

It is an arithmetic number, because the mean of its divisors is an integer number (133369740).

Almost surely, 23149484312 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 3149484312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267831680).

3149484312 is an abundant number, since it is smaller than the sum of its proper divisors (5386179048).

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

3149484312 is a wasteful number, since it uses less digits than its factorization.

3149484312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67024 (or 67020 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 3149484312 is about 56120.2664997236. The cubic root of 3149484312 is about 1465.8172102692.

The spelling of 3149484312 in words is "three billion, one hundred forty-nine million, four hundred eighty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 151 156 302 312 453 604 906 1208 1812 1963 3624 3926 5889 7852 11778 15704 23556 47112 66851 133702 200553 267404 401106 534808 802212 869063 1604424 1738126 2607189 3476252 5214378 6952504 10094501 10428756 20189002 20857512 30283503 40378004 60567006 80756008 121134012 131228513 242268024 262457026 393685539 524914052 787371078 1049828104 1574742156 3149484312