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3404585880 = 2332541230663
BaseRepresentation
bin1100101011101101…
…1101101110011000
322210021022212211100
43022323131232120
523433033222010
61321500031400
7150240334233
oct31273355630
98707285740
103404585880
111497888843
127b0232560
13423470277
1424424241a
1514dd612c0
hexcaeddb98

3404585880 has 96 divisors (see below), whose sum is σ = 11334828960. Its totient is φ = 885742080.

The previous prime is 3404585867. The next prime is 3404585893. The reversal of 3404585880 is 885854043.

It is an interprime number because it is at equal distance from previous prime (3404585867) and next prime (3404585893).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100572 + ... + 130091.

It is an arithmetic number, because the mean of its divisors is an integer number (118071135).

Almost surely, 23404585880 is an apocalyptic number.

3404585880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3404585880 is an abundant number, since it is smaller than the sum of its proper divisors (7930243080).

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

3404585880 is a wasteful number, since it uses less digits than its factorization.

3404585880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230721 (or 230714 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 3404585880 is about 58348.8292941684. The cubic root of 3404585880 is about 1504.3703476744.

The spelling of 3404585880 in words is "three billion, four hundred four million, five hundred eighty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 230663 461326 691989 922652 1153315 1383978 1845304 2075967 2306630 2767956 3459945 4151934 4613260 5535912 6919890 8303868 9226520 9457183 10379835 13839780 16607736 18914366 20759670 27679560 28371549 37828732 41519340 47285915 56743098 75657464 83038680 85114647 94571830 113486196 141857745 170229294 189143660 226972392 283715490 340458588 378287320 425573235 567430980 680917176 851146470 1134861960 1702292940 3404585880