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2689343640 = 233352699257
BaseRepresentation
bin1010000001001100…
…0010000010011000
320221102110210221000
42200103002002120
521001432444030
61122505545000
7123434021004
oct24023020230
96842423830
102689343640
111160078755
126307a5160
1333b2251c9
141b725b704
1510b17c860
hexa04c2098

2689343640 has 128 divisors (see below), whose sum is σ = 8998776000. Its totient is φ = 714415104.

The previous prime is 2689343633. The next prime is 2689343641. The reversal of 2689343640 is 463439862.

2689343640 is a `hidden beast` number, since 268 + 9 + 343 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2689343641) 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, 285892 + ... + 295148.

Almost surely, 22689343640 is an apocalyptic number.

2689343640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2689343640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499388000).

2689343640 is an abundant number, since it is smaller than the sum of its proper divisors (6309432360).

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

2689343640 is a wasteful number, since it uses less digits than its factorization.

2689343640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9546 (or 9536 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 2689343640 is about 51858.8819779216. The cubic root of 2689343640 is about 1390.6422924012.

The spelling of 2689343640 in words is "two billion, six hundred eighty-nine million, three hundred forty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 269 270 360 538 540 807 1076 1080 1345 1614 2152 2421 2690 3228 4035 4842 5380 6456 7263 8070 9257 9684 10760 12105 14526 16140 18514 19368 24210 27771 29052 32280 36315 37028 46285 48420 55542 58104 72630 74056 83313 92570 96840 111084 138855 145260 166626 185140 222168 249939 277710 290520 333252 370280 416565 499878 555420 666504 833130 999756 1110840 1249695 1666260 1999512 2490133 2499390 3332520 4980266 4998780 7470399 9960532 9997560 12450665 14940798 19921064 22411197 24901330 29881596 37351995 44822394 49802660 59763192 67233591 74703990 89644788 99605320 112055985 134467182 149407980 179289576 224111970 268934364 298815960 336167955 448223940 537868728 672335910 896447880 1344671820 2689343640