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3120000432 = 243375233359
BaseRepresentation
bin1011100111110111…
…0110110110110000
322001102211102222120
42321331312312300
522342210003212
61233332234240
7140213365113
oct27175666660
98042742876
103120000432
11136118255a
12730a6b980
133a950b703
1421852257a
15133d9988c
hexb9f76db0

3120000432 has 80 divisors (see below), whose sum is σ = 8296135680. Its totient is φ = 1009656576.

The previous prime is 3120000427. The next prime is 3120000451. The reversal of 3120000432 is 2340000213.

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, 927169 + ... + 930527.

It is an arithmetic number, because the mean of its divisors is an integer number (103701696).

Almost surely, 23120000432 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 3120000432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148067840).

3120000432 is an abundant number, since it is smaller than the sum of its proper divisors (5176135248).

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

3120000432 is a wasteful number, since it uses less digits than its factorization.

3120000432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3120000432 is about 55856.9640420960. The cubic root of 3120000432 is about 1461.2287822539.

Adding to 3120000432 its reverse (2340000213), we get a palindrome (5460000645).

The spelling of 3120000432 in words is "three billion, one hundred twenty million, four hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 523 592 888 1046 1569 1776 2092 3138 3359 4184 6276 6718 8368 10077 12552 13436 19351 20154 25104 26872 38702 40308 53744 58053 77404 80616 116106 124283 154808 161232 232212 248566 309616 372849 464424 497132 745698 928848 994264 1491396 1756757 1988528 2982792 3513514 5270271 5965584 7027028 10540542 14054056 21081084 28108112 42162168 65000009 84324336 130000018 195000027 260000036 390000054 520000072 780000108 1040000144 1560000216 3120000432