Search a number
-
+
2314016352 = 253235922381
BaseRepresentation
bin1000100111101101…
…0001011001100000
312222021020012200100
42021323101121200
514214342010402
61021341222400
7111225546234
oct21173213140
95867205610
102314016352
11a8822480a
12546b61a00
132ab541b5b
1417d47a5c4
15d823e71c
hex89ed1660

2314016352 has 72 divisors (see below), whose sum is σ = 6599108880. Its totient is φ = 769155840.

The previous prime is 2314016323. The next prime is 2314016381. The reversal of 2314016352 is 2536104132.

2314016352 is a `hidden beast` number, since 23 + 1 + 4 + 0 + 1 + 635 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2314016323) and next prime (2314016381).

It is a tau number, because it is divible by the number of its divisors (72).

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, 92202 + ... + 114582.

It is an arithmetic number, because the mean of its divisors is an integer number (91654290).

Almost surely, 22314016352 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 2314016352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299554440).

2314016352 is an abundant number, since it is smaller than the sum of its proper divisors (4285092528).

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

2314016352 is a wasteful number, since it uses less digits than its factorization.

2314016352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22756 (or 22745 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2314016352 is about 48104.2238478078. The cubic root of 2314016352 is about 1322.6820947967.

The spelling of 2314016352 in words is "two billion, three hundred fourteen million, sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 359 718 1077 1436 2154 2872 3231 4308 5744 6462 8616 11488 12924 17232 22381 25848 34464 44762 51696 67143 89524 103392 134286 179048 201429 268572 358096 402858 537144 716192 805716 1074288 1611432 2148576 3222864 6445728 8034779 16069558 24104337 32139116 48208674 64278232 72313011 96417348 128556464 144626022 192834696 257112928 289252044 385669392 578504088 771338784 1157008176 2314016352