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2340920784 = 243731813691
BaseRepresentation
bin1000101110000111…
…1001110111010000
320001010212002121210
42023201321313100
514243233431114
61024142020120
7112003332636
oct21341716720
96033762553
102340920784
11aa1430484
12553b77640
132b3ca1b37
14182c81356
15da7a6259
hex8b879dd0

2340920784 has 80 divisors (see below), whose sum is σ = 6165758144. Its totient is φ = 765158400.

The previous prime is 2340920761. The next prime is 2340920833. The reversal of 2340920784 is 4870290432.

2340920784 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 632379 + ... + 636069.

Almost surely, 22340920784 is an apocalyptic number.

2340920784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340920784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082879072).

2340920784 is an abundant number, since it is smaller than the sum of its proper divisors (3824837360).

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

2340920784 is a wasteful number, since it uses less digits than its factorization.

2340920784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 2340920784 is about 48383.0629869586. The cubic root of 2340920784 is about 1327.7885090459.

The spelling of 2340920784 in words is "two billion, three hundred forty million, nine hundred twenty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 181 219 292 362 438 543 584 724 876 1086 1168 1448 1752 2172 2896 3504 3691 4344 7382 8688 11073 13213 14764 22146 26426 29528 39639 44292 52852 59056 79278 88584 105704 158556 177168 211408 269443 317112 538886 634224 668071 808329 1077772 1336142 1616658 2004213 2155544 2672284 3233316 4008426 4311088 5344568 6466632 8016852 10689136 12933264 16033704 32067408 48769183 97538366 146307549 195076732 292615098 390153464 585230196 780306928 1170460392 2340920784