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3204233312 = 257412691297
BaseRepresentation
bin1011111011111100…
…1011100001100000
322021022022220202212
42332333023201200
523030240431222
61245541501252
7142255351040
oct27677134140
98238286685
103204233312
1113a4784a05
12755111828
133c0ac1657
142257ab720
1513b4876e2
hexbefcb860

3204233312 has 96 divisors (see below), whose sum is σ = 7418537280. Its totient is φ = 1333739520.

The previous prime is 3204233297. The next prime is 3204233323. The reversal of 3204233312 is 2133324023.

It is a super-2 number, since 2×32042333122 = 20534222235460978688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2469848 + ... + 2471144.

It is an arithmetic number, because the mean of its divisors is an integer number (77276430).

Almost surely, 23204233312 is an apocalyptic number.

3204233312 is a gapful number since it is divisible by the number (32) 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 3204233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709268640).

3204233312 is an abundant number, since it is smaller than the sum of its proper divisors (4214303968).

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

3204233312 is a wasteful number, since it uses less digits than its factorization.

3204233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 3204233312 is about 56605.9476733673. The cubic root of 3204233312 is about 1474.2621320639.

Adding to 3204233312 its reverse (2133324023), we get a palindrome (5337557335).

The spelling of 3204233312 in words is "three billion, two hundred four million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 269 287 328 538 574 656 1076 1148 1297 1312 1883 2152 2296 2594 3766 4304 4592 5188 7532 8608 9079 9184 10376 11029 15064 18158 20752 22058 30128 36316 41504 44116 53177 60256 72632 77203 88232 106354 145264 154406 176464 212708 290528 308812 348893 352928 372239 425416 617624 697786 744478 850832 1235248 1395572 1488956 1701664 2442251 2470496 2791144 2977912 4884502 5582288 5955824 9769004 11164576 11911648 14304613 19538008 28609226 39076016 57218452 78152032 100132291 114436904 200264582 228873808 400529164 457747616 801058328 1602116656 3204233312