Search a number
-
+
3243552900 = 22352711711319
BaseRepresentation
bin1100000101010100…
…1011000010000100
322101001022120002220
43001111023002010
523120322143100
61253504332340
7143243513310
oct30125130204
98331276086
103243552900
1114149a0335
127663140b0
133c8caa593
1422aac4b40
1513eb52aa0
hexc154b084

3243552900 has 144 divisors (see below), whose sum is σ = 10742645760. Its totient is φ = 740188800.

The previous prime is 3243552881. The next prime is 3243552901. The reversal of 3243552900 is 92553423.

It is not an unprimeable number, because it can be changed into a prime (3243552901) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2458441 + ... + 2459759.

Almost surely, 23243552900 is an apocalyptic number.

3243552900 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 3243552900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5371322880).

3243552900 is an abundant number, since it is smaller than the sum of its proper divisors (7499092860).

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

3243552900 is a wasteful number, since it uses less digits than its factorization.

3243552900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 3243552900 is about 56952.1983772356. The cubic root of 3243552900 is about 1480.2679238592.

The spelling of 3243552900 in words is "three billion, two hundred forty-three million, five hundred fifty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 1171 1319 2100 2342 2638 3513 3957 4684 5276 5855 6595 7026 7914 8197 9233 11710 13190 14052 15828 16394 17565 18466 19785 23420 24591 26380 27699 29275 32788 32975 35130 36932 39570 40985 46165 49182 55398 58550 65950 70260 79140 81970 87825 92330 98364 98925 110796 117100 122955 131900 138495 163940 175650 184660 197850 204925 230825 245910 276990 351300 395700 409850 461650 491820 553980 614775 692475 819700 923300 1229550 1384950 1544549 2459100 2769900 3089098 4633647 6178196 7722745 9267294 10811843 15445490 18534588 21623686 23168235 30890980 32435529 38613725 43247372 46336470 54059215 64871058 77227450 92672940 108118430 115841175 129742116 154454900 162177645 216236860 231682350 270296075 324355290 463364700 540592150 648710580 810888225 1081184300 1621776450 3243552900