Search a number
-
+
2345314032 = 243271229393
BaseRepresentation
bin1000101111001010…
…1010011011110000
320001110010022000200
42023302222123300
514300400022112
61024420115200
7112055561145
oct21362523360
96043108020
102345314032
11aa3961166
12555535b00
132b4b7c6a9
141836a63cc
15dad72cdc
hex8bcaa6f0

2345314032 has 60 divisors (see below), whose sum is σ = 6656096304. Its totient is φ = 770757120.

The previous prime is 2345314019. The next prime is 2345314043. The reversal of 2345314032 is 2304135432.

2345314032 is a `hidden beast` number, since 2 + 345 + 314 + 0 + 3 + 2 = 666.

2345314032 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 = 2345313987 and 2345314005.

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, 104473 + ... + 124920.

Almost surely, 22345314032 is an apocalyptic number.

It is an amenable number.

2345314032 is an abundant number, since it is smaller than the sum of its proper divisors (4310782272).

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

2345314032 is a wasteful number, since it uses less digits than its factorization.

2345314032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229478 (or 229469 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2345314032 is about 48428.4423866802. The cubic root of 2345314032 is about 1328.6186181346.

Adding to 2345314032 its reverse (2304135432), we get a palindrome (4649449464).

The spelling of 2345314032 in words is "two billion, three hundred forty-five million, three hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5112 10224 229393 458786 688179 917572 1376358 1835144 2064537 2752716 3670288 4129074 5505432 8258148 11010864 16286903 16516296 32573806 33032592 48860709 65147612 97721418 130295224 146582127 195442836 260590448 293164254 390885672 586328508 781771344 1172657016 2345314032