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3325235040 = 253252718521
BaseRepresentation
bin1100011000110011…
…0000111101100000
322120202000102221100
43012030300331200
523302230010130
61305543154400
7145255013541
oct30614607540
98522012840
103325235040
111457010336
12789745a00
1340cba94ca
142378a84c8
15146dd9c60
hexc6330f60

3325235040 has 144 divisors (see below), whose sum is σ = 11390573376. Its totient is φ = 883353600.

The previous prime is 3325235027. The next prime is 3325235063. The reversal of 3325235040 is 405325233.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33252350402 = 22114376142487603200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3325234995 and 3325235013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385980 + ... + 394500.

It is an arithmetic number, because the mean of its divisors is an integer number (79101204).

Almost surely, 23325235040 is an apocalyptic number.

3325235040 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 3325235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5695286688).

3325235040 is an abundant number, since it is smaller than the sum of its proper divisors (8065338336).

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

3325235040 is a wasteful number, since it uses less digits than its factorization.

3325235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8813 (or 8802 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 3325235040 is about 57664.8509926107. The cubic root of 3325235040 is about 1492.5908768516.

The spelling of 3325235040 in words is "three billion, three hundred twenty-five million, two hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 271 288 360 480 542 720 813 1084 1355 1440 1626 2168 2439 2710 3252 4065 4336 4878 5420 6504 8130 8521 8672 9756 10840 12195 13008 16260 17042 19512 21680 24390 25563 26016 32520 34084 39024 42605 43360 48780 51126 65040 68168 76689 78048 85210 97560 102252 127815 130080 136336 153378 170420 195120 204504 255630 272672 306756 340840 383445 390240 409008 511260 613512 681680 766890 818016 1022520 1227024 1363360 1533780 2045040 2309191 2454048 3067560 4090080 4618382 6135120 6927573 9236764 11545955 12270240 13855146 18473528 20782719 23091910 27710292 34637865 36947056 41565438 46183820 55420584 69275730 73894112 83130876 92367640 103913595 110841168 138551460 166261752 184735280 207827190 221682336 277102920 332523504 369470560 415654380 554205840 665047008 831308760 1108411680 1662617520 3325235040