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3401703432 = 2333101241647
BaseRepresentation
bin1100101011000001…
…1110000000001000
322210001220102212000
43022300132000020
523431314002212
61321314151000
7150204000501
oct31260360010
98701812760
103401703432
11149619a156
127ab282460
134229a128a
14243ad1ba8
1514d9921dc
hexcac1e008

3401703432 has 128 divisors (see below), whose sum is σ = 9597139200. Its totient is φ = 1116288000.

The previous prime is 3401703407. The next prime is 3401703449. The reversal of 3401703432 is 2343071043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3401703396 and 3401703405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5257333 + ... + 5257979.

It is an arithmetic number, because the mean of its divisors is an integer number (74977650).

Almost surely, 23401703432 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 3401703432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798569600).

3401703432 is an abundant number, since it is smaller than the sum of its proper divisors (6195435768).

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

3401703432 is a wasteful number, since it uses less digits than its factorization.

3401703432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3401703432 is about 58324.1239282683. The cubic root of 3401703432 is about 1503.9456759936.

Adding to 3401703432 its reverse (2343071043), we get a palindrome (5744774475).

The spelling of 3401703432 in words is "three billion, four hundred one million, seven hundred three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 202 216 241 303 404 482 606 647 723 808 909 964 1212 1294 1446 1818 1928 1941 2169 2424 2588 2727 2892 3636 3882 4338 5176 5454 5784 5823 6507 7272 7764 8676 10908 11646 13014 15528 17352 17469 21816 23292 24341 26028 34938 46584 48682 52056 65347 69876 73023 97364 130694 139752 146046 155927 194728 196041 219069 261388 292092 311854 392082 438138 467781 522776 584184 588123 623708 657207 784164 876276 935562 1176246 1247416 1314414 1403343 1568328 1752552 1764369 1871124 2352492 2628828 2806686 3528738 3742248 4210029 4704984 5257656 5613372 7057476 8420058 11226744 14114952 15748627 16840116 31497254 33680232 47245881 62994508 94491762 125989016 141737643 188983524 283475286 377967048 425212929 566950572 850425858 1133901144 1700851716 3401703432