Search a number
-
+
3234064500 = 2232532331247
BaseRepresentation
bin1100000011000011…
…1110100001110100
322100101110111110200
43000300332201310
523110410031000
61252525120500
7143100044322
oct30060764164
98311414420
103234064500
11140a5aa587
127630b9130
133c7037844
14229734d12
1513ddcb500
hexc0c3e874

3234064500 has 144 divisors (see below), whose sum is σ = 10646318592. Its totient is φ = 824894400.

The previous prime is 3234064481. The next prime is 3234064507. The reversal of 3234064500 is 54604323.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3234064507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87877 + ... + 119123.

It is an arithmetic number, because the mean of its divisors is an integer number (73932768).

Almost surely, 23234064500 is an apocalyptic number.

3234064500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3234064500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323159296).

3234064500 is an abundant number, since it is smaller than the sum of its proper divisors (7412254092).

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

3234064500 is a wasteful number, since it uses less digits than its factorization.

3234064500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31295 (or 31280 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3234064500 is about 56868.8359297076. The cubic root of 3234064500 is about 1478.8230995571.

Adding to 3234064500 its reverse (54604323), we get a palindrome (3288668823).

The spelling of 3234064500 in words is "three billion, two hundred thirty-four million, sixty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 50 60 69 75 90 92 100 115 125 138 150 180 207 225 230 250 276 300 345 375 414 450 460 500 575 690 750 828 900 1035 1125 1150 1380 1500 1725 2070 2250 2300 2875 3450 4140 4500 5175 5750 6900 8625 10350 11500 17250 20700 25875 31247 34500 51750 62494 93741 103500 124988 156235 187482 281223 312470 374964 468705 562446 624940 718681 781175 937410 1124892 1406115 1437362 1562350 1874820 2156043 2343525 2812230 2874724 3124700 3593405 3905875 4312086 4687050 5624460 6468129 7030575 7186810 7811750 8624172 9374100 10780215 11717625 12936258 14061150 14373620 15623500 17967025 21560430 23435250 25872516 28122300 32340645 35152875 35934050 43120860 46870500 53901075 64681290 70305750 71868100 89835125 107802150 129362580 140611500 161703225 179670250 215604300 269505375 323406450 359340500 539010750 646812900 808516125 1078021500 1617032250 3234064500