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2264343936 = 27319330553
BaseRepresentation
bin1000011011110111…
…0010010110000000
312211210202120221020
42012331302112000
514114133001221
61012404425440
7110053414551
oct20675622600
95753676836
102264343936
11a62188128
125323a8280
132a116c8aa
14176a2a328
15d3bcbac6
hex86f72580

2264343936 has 64 divisors (see below), whose sum is σ = 6046025520. Its totient is φ = 750845952.

The previous prime is 2264343929. The next prime is 2264343959. The reversal of 2264343936 is 6393434622.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58836 + ... + 89388.

Almost surely, 22264343936 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 2264343936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023012760).

2264343936 is an abundant number, since it is smaller than the sum of its proper divisors (3781681584).

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

2264343936 is a wasteful number, since it uses less digits than its factorization.

2264343936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30763 (or 30751 counting only the distinct ones).

The product of its digits is 559872, while the sum is 42.

The square root of 2264343936 is about 47585.1230533241. The cubic root of 2264343936 is about 1313.1493745164.

The spelling of 2264343936 in words is "two billion, two hundred sixty-four million, three hundred forty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 193 384 386 579 772 1158 1544 2316 3088 4632 6176 9264 12352 18528 24704 30553 37056 61106 74112 91659 122212 183318 244424 366636 488848 733272 977696 1466544 1955392 2933088 3910784 5866176 5896729 11732352 11793458 17690187 23586916 35380374 47173832 70760748 94347664 141521496 188695328 283042992 377390656 566085984 754781312 1132171968 2264343936