Search a number
-
+
2345380688 = 24728933613
BaseRepresentation
bin1000101111001011…
…1010101101010000
320001110020200110102
42023302322231100
514300404140223
61024421351532
7112056256400
oct21362725520
96043220412
102345380688
11aa39a7252
125555685a8
132b4ba3b31
141836c2800
15dad87928
hex8bcbab50

2345380688 has 60 divisors (see below), whose sum is σ = 5345634420. Its totient is φ = 993839616.

The previous prime is 2345380663. The next prime is 2345380703. The reversal of 2345380688 is 8860835432.

It is a happy number.

2345380688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 500506384 + 1844874304 = 22372^2 + 42952^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52970 + ... + 86582.

It is an arithmetic number, because the mean of its divisors is an integer number (89093907).

Almost surely, 22345380688 is an apocalyptic number.

2345380688 is a gapful number since it is divisible by the number (28) 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 2345380688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672817210).

2345380688 is an abundant number, since it is smaller than the sum of its proper divisors (3000253732).

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

2345380688 is a wasteful number, since it uses less digits than its factorization.

2345380688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33724 (or 33711 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 47.

The square root of 2345380688 is about 48429.1305724148. The cubic root of 2345380688 is about 1328.6312048731.

The spelling of 2345380688 in words is "two billion, three hundred forty-five million, three hundred eighty thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 89 98 112 178 196 356 392 623 712 784 1246 1424 2492 4361 4984 8722 9968 17444 33613 34888 67226 69776 134452 235291 268904 470582 537808 941164 1647037 1882328 2991557 3294074 3764656 5983114 6588148 11966228 13176296 20940899 23932456 26352592 41881798 47864912 83763596 146586293 167527192 293172586 335054384 586345172 1172690344 2345380688