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3242312304 = 2437111946171
BaseRepresentation
bin1100000101000001…
…1100001001110000
322100221222112022220
43001100130021300
523120012443204
61253422001040
7143230125360
oct30120341160
98327875286
103242312304
111414223250
12765a16180
133c89649ba
1422a8809a0
1513e9aa1d9
hexc141c270

3242312304 has 160 divisors (see below), whose sum is σ = 10992629760. Its totient is φ = 797817600.

The previous prime is 3242312279. The next prime is 3242312363. The reversal of 3242312304 is 4032132423.

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

It is a congruent number.

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, 47139 + ... + 93309.

It is an arithmetic number, because the mean of its divisors is an integer number (68703936).

Almost surely, 23242312304 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 3242312304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496314880).

3242312304 is an abundant number, since it is smaller than the sum of its proper divisors (7750317456).

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

3242312304 is a wasteful number, since it uses less digits than its factorization.

3242312304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46219 (or 46213 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3242312304 is about 56941.3057806018. The cubic root of 3242312304 is about 1480.0791752140.

Adding to 3242312304 its reverse (4032132423), we get a palindrome (7274444727).

The spelling of 3242312304 in words is "three billion, two hundred forty-two million, three hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 33 38 42 44 48 56 57 66 76 77 84 88 112 114 132 133 152 154 168 176 209 228 231 264 266 304 308 336 399 418 456 462 528 532 616 627 798 836 912 924 1064 1232 1254 1463 1596 1672 1848 2128 2508 2926 3192 3344 3696 4389 5016 5852 6384 8778 10032 11704 17556 23408 35112 46171 70224 92342 138513 184684 277026 323197 369368 507881 554052 646394 738736 877249 969591 1015762 1108104 1292788 1523643 1754498 1939182 2031524 2216208 2585576 2631747 3047286 3508996 3555167 3878364 4063048 5171152 5263494 6094572 6140743 7017992 7110334 7756728 8126096 9649739 10526988 10665501 12189144 12281486 14035984 14220668 15513456 18422229 19299478 21053976 21331002 24378288 24562972 28441336 28949217 36844458 38598956 42107952 42662004 49125944 56882672 57898434 67548173 73688916 77197912 85324008 98251888 115796868 135096346 147377832 154395824 170648016 202644519 231593736 270192692 294755664 405289038 463187472 540385384 810578076 1080770768 1621156152 3242312304