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1842340768 = 252914092
BaseRepresentation
bin110110111001111…
…1110001110100000
311202101200121102021
41231303332032200
512233114401033
6502451431224
763440431612
oct15563761640
94671617367
101842340768
11865a53984
12434bb5514
132348c6188
14136978db2
15abb1db2d
hex6dcfe3a0

1842340768 has 36 divisors (see below), whose sum is σ = 3754845990. Its totient is φ = 888774656.

The previous prime is 1842340763. The next prime is 1842340769. The reversal of 1842340768 is 8670432481.

It can be written as a sum of positive squares in 3 ways, for example, as 451647504 + 1390693264 = 21252^2 + 37292^2 .

It is not an unprimeable number, because it can be changed into a prime (1842340763) 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, 1306848 + ... + 1308256.

Almost surely, 21842340768 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 1842340768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877422995).

1842340768 is an abundant number, since it is smaller than the sum of its proper divisors (1912505222).

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

1842340768 is an frugal number, since it uses more digits than its factorization.

1842340768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 1842340768 is about 42922.4972246490. The cubic root of 1842340768 is about 1225.9045420826.

The spelling of 1842340768 in words is "one billion, eight hundred forty-two million, three hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 1409 2818 5636 11272 22544 40861 45088 81722 163444 326888 653776 1307552 1985281 3970562 7941124 15882248 31764496 57573149 63528992 115146298 230292596 460585192 921170384 1842340768