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3233003340 = 2235724126821
BaseRepresentation
bin1100000010110011…
…1011011101001100
322100022110120211110
43000230323131030
523110122101330
61252450252020
7143055034500
oct30054733514
98308416743
103233003340
111409a45296
12762887010
133c6a55838
1422953a300
1513dc6bdb0
hexc0b3b74c

3233003340 has 144 divisors (see below), whose sum is σ = 10787593824. Its totient is φ = 720921600.

The previous prime is 3233003287. The next prime is 3233003359. The reversal of 3233003340 is 433003323.

3233003340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107130 + ... + 133950.

It is an arithmetic number, because the mean of its divisors is an integer number (74913846).

Almost surely, 23233003340 is an apocalyptic number.

3233003340 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 3233003340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5393796912).

3233003340 is an abundant number, since it is smaller than the sum of its proper divisors (7554590484).

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

3233003340 is a wasteful number, since it uses less digits than its factorization.

3233003340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26888 (or 26879 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 21.

The square root of 3233003340 is about 56859.5052739645. The cubic root of 3233003340 is about 1478.6613382413.

Adding to 3233003340 its reverse (433003323), we get a palindrome (3666006663).

The spelling of 3233003340 in words is "three billion, two hundred thirty-three million, three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 49 60 70 82 84 98 105 123 140 147 164 196 205 210 245 246 287 294 410 420 490 492 574 588 615 735 820 861 980 1148 1230 1435 1470 1722 2009 2460 2870 2940 3444 4018 4305 5740 6027 8036 8610 10045 12054 17220 20090 24108 26821 30135 40180 53642 60270 80463 107284 120540 134105 160926 187747 268210 321852 375494 402315 536420 563241 750988 804630 938735 1099661 1126482 1314229 1609260 1877470 2199322 2252964 2628458 2816205 3298983 3754940 3942687 4398644 5256916 5498305 5632410 6571145 6597966 7697627 7885374 10996610 11264820 13142290 13195932 15395254 15770748 16494915 19713435 21993220 23092881 26284580 30790508 32989830 38488135 39426870 46185762 53883389 65979660 76976270 78853740 92371524 107766778 115464405 153952540 161650167 215533556 230928810 269416945 323300334 461857620 538833890 646600668 808250835 1077667780 1616501670 3233003340