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3242333120 = 265137431049
BaseRepresentation
bin1100000101000010…
…0001001111000000
322100222000120212212
43001100201033000
523120014124440
61253422241252
7143230243145
oct30120411700
98328016785
103242333120
111414237954
12765a26228
133c8971310
1422a8883cc
1513e9b1465
hexc14213c0

3242333120 has 112 divisors (see below), whose sum is σ = 8333841600. Its totient is φ = 1194418176.

The previous prime is 3242333111. The next prime is 3242333131. The reversal of 3242333120 is 213332423.

It is a super-2 number, since 2×32423331202 = 21025448122097868800, 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, 3090356 + ... + 3091404.

It is an arithmetic number, because the mean of its divisors is an integer number (74409300).

Almost surely, 23242333120 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 3242333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166920800).

3242333120 is an abundant number, since it is smaller than the sum of its proper divisors (5091508480).

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

3242333120 is a wasteful number, since it uses less digits than its factorization.

3242333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1812 counting only the distinct ones).

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

The square root of 3242333120 is about 56941.4885650173. The cubic root of 3242333120 is about 1480.0823426307.

Adding to 3242333120 its reverse (213332423), we get a palindrome (3455665543).

The spelling of 3242333120 in words is "three billion, two hundred forty-two million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 743 832 1040 1049 1486 2080 2098 2972 3715 4160 4196 5245 5944 7430 8392 9659 10490 11888 13637 14860 16784 19318 20980 23776 27274 29720 33568 38636 41960 47552 48295 54548 59440 67136 68185 77272 83920 96590 109096 118880 136370 154544 167840 193180 218192 237760 272740 309088 335680 386360 436384 545480 618176 772720 779407 872768 1090960 1545440 1558814 2181920 3090880 3117628 3897035 4363840 6235256 7794070 10132291 12470512 15588140 20264582 24941024 31176280 40529164 49882048 50661455 62352560 81058328 101322910 124705120 162116656 202645820 249410240 324233312 405291640 648466624 810583280 1621166560 3242333120