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3069491400 = 2332521705273
BaseRepresentation
bin1011011011110100…
…1011100011001000
321220220210022121200
42312331023203020
522241242211100
61224325504200
7136031150343
oct26675134310
97826708550
103069491400
111335714358
12717b72060
1339bc05701
1421193545a
1512e71de00
hexb6f4b8c8

3069491400 has 72 divisors (see below), whose sum is σ = 10308381330. Its totient is φ = 818530560.

The previous prime is 3069491393. The next prime is 3069491407. The reversal of 3069491400 is 41949603.

It is an interprime number because it is at equal distance from previous prime (3069491393) and next prime (3069491407).

It can be written as a sum of positive squares in 3 ways, for example, as 2254160484 + 815330916 = 47478^2 + 28554^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3069491407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 850837 + ... + 854436.

Almost surely, 23069491400 is an apocalyptic number.

3069491400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3069491400 is an abundant number, since it is smaller than the sum of its proper divisors (7238889930).

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

3069491400 is a wasteful number, since it uses less digits than its factorization.

3069491400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705295 (or 1705283 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3069491400 is about 55402.9908939942. The cubic root of 3069491400 is about 1453.3006695705.

The spelling of 3069491400 in words is "three billion, sixty-nine million, four hundred ninety-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 1705273 3410546 5115819 6821092 8526365 10231638 13642184 15347457 17052730 20463276 25579095 30694914 34105460 40926552 42631825 51158190 61389828 68210920 76737285 85263650 102316380 122779656 127895475 153474570 170527300 204632760 255790950 306949140 341054600 383686425 511581900 613898280 767372850 1023163800 1534745700 3069491400