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3234040440 = 233535717547
BaseRepresentation
bin1100000011000011…
…1000101001111000
322100101102021110120
43000300320221320
523110403243230
61252524413240
7143066614221
oct30060705170
98311367416
103234040440
11140a5934a4
127630a7220
133c70298c7
1422972a248
1513ddc4310
hexc0c38a78

3234040440 has 64 divisors (see below), whose sum is σ = 9706124160. Its totient is φ = 862055040.

The previous prime is 3234040429. The next prime is 3234040489. The reversal of 3234040440 is 440404323.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3234040440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424747 + ... + 432293.

It is an arithmetic number, because the mean of its divisors is an integer number (151658190).

Almost surely, 23234040440 is an apocalyptic number.

3234040440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3234040440 is an abundant number, since it is smaller than the sum of its proper divisors (6472083720).

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

3234040440 is a wasteful number, since it uses less digits than its factorization.

3234040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11132 (or 11128 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3234040440 is about 56868.6243899041. The cubic root of 3234040440 is about 1478.8194322862.

Adding to 3234040440 its reverse (440404323), we get a palindrome (3674444763).

The spelling of 3234040440 in words is "three billion, two hundred thirty-four million, forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3571 7142 7547 10713 14284 15094 17855 21426 22641 28568 30188 35710 37735 42852 45282 53565 60376 71420 75470 85704 90564 107130 113205 142840 150940 181128 214260 226410 301880 428520 452820 905640 26950337 53900674 80851011 107801348 134751685 161702022 215602696 269503370 323404044 404255055 539006740 646808088 808510110 1078013480 1617020220 3234040440