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2684568432 = 2437134314293
BaseRepresentation
bin1010000000000011…
…0100001101110000
320221002111012120110
42200000310031300
520444222142212
61122215341320
7123345312060
oct24000641560
96832435513
102684568432
111158406aa7
1262b081840
1333a242840
141b67773a0
1510aa37a3c
hexa0034370

2684568432 has 160 divisors (see below), whose sum is σ = 8734663168. Its totient is φ = 691504128.

The previous prime is 2684568427. The next prime is 2684568437. The reversal of 2684568432 is 2348654862.

It is an interprime number because it is at equal distance from previous prime (2684568427) and next prime (2684568437).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2684568437) 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, 180678 + ... + 194970.

Almost surely, 22684568432 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 2684568432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367331584).

2684568432 is an abundant number, since it is smaller than the sum of its proper divisors (6050094736).

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

2684568432 is a wasteful number, since it uses less digits than its factorization.

2684568432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14367 (or 14361 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 48.

The square root of 2684568432 is about 51812.8211160134. The cubic root of 2684568432 is about 1389.8187283236.

The spelling of 2684568432 in words is "two billion, six hundred eighty-four million, five hundred sixty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 43 48 52 56 78 84 86 91 104 112 129 156 168 172 182 208 258 273 301 312 336 344 364 516 546 559 602 624 688 728 903 1032 1092 1118 1204 1456 1677 1806 2064 2184 2236 2408 3354 3612 3913 4368 4472 4816 6708 7224 7826 8944 11739 13416 14293 14448 15652 23478 26832 28586 31304 42879 46956 57172 62608 85758 93912 100051 114344 171516 185809 187824 200102 228688 300153 343032 371618 400204 557427 600306 614599 686064 743236 800408 1114854 1200612 1229198 1300663 1486472 1600816 1843797 2229708 2401224 2458396 2601326 2972944 3687594 3901989 4302193 4459416 4802448 4916792 5202652 7375188 7803978 7989787 8604386 8918832 9833584 10405304 12906579 14750376 15607956 15979574 17208772 20810608 23969361 25813158 29500752 31215912 31959148 34417544 47938722 51626316 55928509 62431824 63918296 68835088 95877444 103252632 111857018 127836592 167785527 191754888 206505264 223714036 335571054 383509776 447428072 671142108 894856144 1342284216 2684568432