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3105240705 = 34573189397
BaseRepresentation
bin1011100100010110…
…0011011010000001
322000102001120110000
42321011203122001
522324420200310
61232044030213
7136644052620
oct27105433201
98012046400
103105240705
111353911336
12727b32369
133a6441548
1421659d6b7
151329314c0
hexb9163681

3105240705 has 160 divisors (see below), whose sum is σ = 6657361920. Its totient is φ = 1354890240.

The previous prime is 3105240703. The next prime is 3105240707. The reversal of 3105240705 is 5070425013.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3105240703) and next prime (3105240707).

It is not a de Polignac number, because 3105240705 - 21 = 3105240703 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (3105240701) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7821567 + ... + 7821963.

It is an arithmetic number, because the mean of its divisors is an integer number (41608512).

Almost surely, 23105240705 is an apocalyptic number.

3105240705 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3105240705 is an abundant number, since it is smaller than the sum of its proper divisors (3552121215).

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

3105240705 is a wasteful number, since it uses less digits than its factorization.

3105240705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 3105240705 is about 55724.6866747584. The cubic root of 3105240705 is about 1458.9209367428.

Adding to 3105240705 its reverse (5070425013), we get a palindrome (8175665718).

The spelling of 3105240705 in words is "three billion, one hundred five million, two hundred forty thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 27 31 35 45 63 81 89 93 105 135 155 189 217 267 279 315 397 405 445 465 567 623 651 801 837 945 1085 1191 1335 1395 1869 1953 1985 2403 2511 2759 2779 2835 3115 3255 3573 4005 4185 5607 5859 5955 7209 8277 8337 9345 9765 10719 12015 12307 12555 13795 13895 16821 17577 17865 19313 24831 25011 28035 29295 32157 35333 36045 36921 41385 41685 50463 53595 57939 61535 74493 75033 84105 86149 87885 96565 105999 110763 124155 125055 160785 173817 176665 184605 223479 225099 247331 252315 258447 289695 317997 332289 372465 375165 430745 521451 529995 553815 741993 775341 869085 953991 996867 1095323 1117395 1125495 1236655 1292235 1564353 1589985 1661445 2225979 2326023 2607255 2861973 3285969 3709965 3876705 4769955 4984335 5476615 6677937 6978069 7667261 7821765 9857907 11129895 11630115 14309865 16429845 20033811 23001783 29573721 33389685 34890345 38336305 49289535 69005349 88721163 100169055 115008915 147868605 207016047 345026745 443605815 621048141 1035080235 3105240705