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2030040324 = 2232134337693
BaseRepresentation
bin111100011111111…
…1111010100000100
312020110212201210200
41320333333110010
513124142242244
6533234450500
7101210025624
oct17077772404
95213781720
102030040324
119519a5384
12487a33a30
132647647c0
14153878884
15bd348669
hex78fff504

2030040324 has 36 divisors (see below), whose sum is σ = 5526222156. Its totient is φ = 624627648.

The previous prime is 2030040293. The next prime is 2030040349. The reversal of 2030040324 is 4230400302.

2030040324 is a `hidden beast` number, since 2 + 0 + 300 + 40 + 324 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1128960000 + 901080324 = 33600^2 + 30018^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2030040297 and 2030040306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2168379 + ... + 2169314.

It is an arithmetic number, because the mean of its divisors is an integer number (153506171).

Almost surely, 22030040324 is an apocalyptic number.

It is an amenable number.

2030040324 is an abundant number, since it is smaller than the sum of its proper divisors (3496181832).

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

2030040324 is a wasteful number, since it uses less digits than its factorization.

2030040324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4337716 (or 4337711 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2030040324 is about 45055.9687943784. The cubic root of 2030040324 is about 1266.1978008287.

Adding to 2030040324 its reverse (4230400302), we get a palindrome (6260440626).

The spelling of 2030040324 in words is "two billion, thirty million, forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 4337693 8675386 13013079 17350772 26026158 39039237 52052316 56390009 78078474 112780018 156156948 169170027 225560036 338340054 507510081 676680108 1015020162 2030040324