Search a number
-
+
4564396340 = 2257413972003
BaseRepresentation
bin1000100000000111…
…10010100100110100
3102210002201100200022
410100003302210310
533321441140330
62032530504312
7221052504650
oct42003624464
912702640608
104564396340
111a32534589
12a74735098
1357983284a
143142ada60
151baaadae5
hex1100f2934

4564396340 has 96 divisors (see below), whose sum is σ = 11255618304. Its totient is φ = 1522160640.

The previous prime is 4564396337. The next prime is 4564396349. The reversal of 4564396340 is 436934654.

It is a junction number, because it is equal to n+sod(n) for n = 4564396291 and 4564396300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4564396349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2277779 + ... + 2279781.

It is an arithmetic number, because the mean of its divisors is an integer number (117246024).

Almost surely, 24564396340 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 4564396340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5627809152).

4564396340 is an abundant number, since it is smaller than the sum of its proper divisors (6691221964).

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

4564396340 is a wasteful number, since it uses less digits than its factorization.

4564396340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 44.

The square root of 4564396340 is about 67560.3163106864. The cubic root of 4564396340 is about 1658.8016148702.

The spelling of 4564396340 in words is "four billion, five hundred sixty-four million, three hundred ninety-six thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 397 410 574 794 820 1148 1435 1588 1985 2003 2779 2870 3970 4006 5558 5740 7940 8012 10015 11116 13895 14021 16277 20030 27790 28042 32554 40060 55580 56084 65108 70105 81385 82123 113939 140210 162770 164246 227878 280420 325540 328492 410615 455756 569695 574861 795191 821230 1139390 1149722 1590382 1642460 2278780 2299444 2874305 3180764 3975955 5566337 5748610 7951910 11132674 11497220 15903820 22265348 27831685 32602831 55663370 65205662 111326740 130411324 163014155 228219817 326028310 456439634 652056620 912879268 1141099085 2282198170 4564396340