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1406305332 = 223239064037
BaseRepresentation
bin101001111010010…
…1000010000110100
310122000012201020200
41103310220100310
510340003232312
6351314000500
746564253355
oct12364502064
93560181220
101406305332
11661906013
12332b76130
13195478743
14d4ab3d2c
15836dd0dc
hex53d28434

1406305332 has 18 divisors (see below), whose sum is σ = 3554827458. Its totient is φ = 468768432.

The previous prime is 1406305319. The next prime is 1406305333. The reversal of 1406305332 is 2335036041.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1390096656 + 16208676 = 37284^2 + 4026^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 1406305296 and 1406305305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406305333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19531983 + ... + 19532054.

Almost surely, 21406305332 is an apocalyptic number.

1406305332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1406305332 is an abundant number, since it is smaller than the sum of its proper divisors (2148522126).

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

1406305332 is a wasteful number, since it uses less digits than its factorization.

1406305332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39064047 (or 39064042 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 1406305332 is about 37500.7377527429. The cubic root of 1406305332 is about 1120.3658806740.

The spelling of 1406305332 in words is "one billion, four hundred six million, three hundred five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 39064037 78128074 117192111 156256148 234384222 351576333 468768444 703152666 1406305332