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3630078432 = 253212604439
BaseRepresentation
bin1101100001011110…
…1001100111100000
3100100222122002110100
43120113221213200
524413300002212
61400113102400
7155646105021
oct33027514740
910328562410
103630078432
1115a30a2722
12853857a00
1345b0b1a06
1426617cc48
15163a53bdc
hexd85e99e0

3630078432 has 36 divisors (see below), whose sum is σ = 10323036360. Its totient is φ = 1210026048.

The previous prime is 3630078379. The next prime is 3630078437. The reversal of 3630078432 is 2348700363.

3630078432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3630078437) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6301932 + ... + 6302507.

It is an arithmetic number, because the mean of its divisors is an integer number (286751010).

Almost surely, 23630078432 is an apocalyptic number.

3630078432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3630078432 is an abundant number, since it is smaller than the sum of its proper divisors (6692957928).

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

3630078432 is a wasteful number, since it uses less digits than its factorization.

3630078432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12604455 (or 12604444 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3630078432 is about 60250.1322156226. The cubic root of 3630078432 is about 1536.8754368260.

Adding to 3630078432 its reverse (2348700363), we get a palindrome (5978778795).

The spelling of 3630078432 in words is "three billion, six hundred thirty million, seventy-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 12604439 25208878 37813317 50417756 75626634 100835512 113439951 151253268 201671024 226879902 302506536 403342048 453759804 605013072 907519608 1210026144 1815039216 3630078432