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3181461640 = 235743892969
BaseRepresentation
bin1011110110100001…
…0100000010001000
322012201110222220121
42331220110002020
523003423233030
61243405433024
7141560656240
oct27550240210
98181428817
103181461640
111392941245
1274956b774
133b917a7a6
14222760b20
1513948a47a
hexbda14088

3181461640 has 128 divisors (see below), whose sum is σ = 8468064000. Its totient is φ = 1053093888.

The previous prime is 3181461623. The next prime is 3181461653. The reversal of 3181461640 is 461641813.

It is a junction number, because it is equal to n+sod(n) for n = 3181461596 and 3181461605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1070076 + ... + 1073044.

It is an arithmetic number, because the mean of its divisors is an integer number (66156750).

Almost surely, 23181461640 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 3181461640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4234032000).

3181461640 is an abundant number, since it is smaller than the sum of its proper divisors (5286602360).

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

3181461640 is a wasteful number, since it uses less digits than its factorization.

3181461640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 3181461640 is about 56404.4469878041. The cubic root of 3181461640 is about 1470.7614239112.

The spelling of 3181461640 in words is "three billion, one hundred eighty-one million, four hundred sixty-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 89 140 172 178 215 280 301 344 356 430 445 602 623 712 860 890 1204 1246 1505 1720 1780 2408 2492 2969 3010 3115 3560 3827 4984 5938 6020 6230 7654 11876 12040 12460 14845 15308 19135 20783 23752 24920 26789 29690 30616 38270 41566 53578 59380 76540 83132 103915 107156 118760 127667 133945 153080 166264 207830 214312 255334 264241 267890 415660 510668 528482 535780 638335 831320 893669 1021336 1056964 1071560 1276670 1321205 1787338 1849687 2113928 2553340 2642410 3574676 3699374 4468345 5106680 5284820 7149352 7398748 8936690 9248435 10569640 11362363 14797496 17873380 18496870 22724726 35746760 36993740 45449452 56811815 73987480 79536541 90898904 113623630 159073082 227247260 318146164 397682705 454494520 636292328 795365410 1590730820 3181461640