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3082380432 = 243178942443
BaseRepresentation
bin1011011110111001…
…0110010010010000
321221211001011001020
42313232112102100
522303042133212
61225510035440
7136245541605
oct26756262220
97854034036
103082380432
111341a1804a
12720348b80
133a1799261
1421352c6ac
15130917d8c
hexb7b96490

3082380432 has 80 divisors (see below), whose sum is σ = 8526150720. Its totient is φ = 956133376.

The previous prime is 3082380421. The next prime is 3082380463. The reversal of 3082380432 is 2340832803.

3082380432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3082380393 and 3082380402.

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, 51403 + ... + 93845.

It is an arithmetic number, because the mean of its divisors is an integer number (106576884).

Almost surely, 23082380432 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 3082380432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4263075360).

3082380432 is an abundant number, since it is smaller than the sum of its proper divisors (5443770288).

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

3082380432 is a wasteful number, since it uses less digits than its factorization.

3082380432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42560 (or 42554 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 3082380432 is about 55519.1897635403. The cubic root of 3082380432 is about 1455.3320029801.

The spelling of 3082380432 in words is "three billion, eighty-two million, three hundred eighty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 89 102 136 178 204 267 272 356 408 534 712 816 1068 1424 1513 2136 3026 4272 4539 6052 9078 12104 18156 24208 36312 42443 72624 84886 127329 169772 254658 339544 509316 679088 721531 1018632 1443062 2037264 2164593 2886124 3777427 4329186 5772248 7554854 8658372 11332281 11544496 15109708 17316744 22664562 30219416 34633488 45329124 60438832 64216259 90658248 128432518 181316496 192648777 256865036 385297554 513730072 770595108 1027460144 1541190216 3082380432