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3252240640 = 285111912157
BaseRepresentation
bin1100000111011001…
…0100000100000000
322101122122221110001
43001312110010000
523130033200030
61254414445344
7143410406065
oct30166240400
98348587401
103252240640
111419894590
12769203854
133caa2ca5c
1422bd06c6c
151407bbcca
hexc1d94100

3252240640 has 144 divisors (see below), whose sum is σ = 8946342720. Its totient is φ = 1120296960.

The previous prime is 3252240619. The next prime is 3252240647. The reversal of 3252240640 is 460422523.

It is a junction number, because it is equal to n+sod(n) for n = 3252240599 and 3252240608.

It is not an unprimeable number, because it can be changed into a prime (3252240647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261442 + ... + 273598.

It is an arithmetic number, because the mean of its divisors is an integer number (62127380).

Almost surely, 23252240640 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 3252240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4473171360).

3252240640 is an abundant number, since it is smaller than the sum of its proper divisors (5694102080).

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

3252240640 is a wasteful number, since it uses less digits than its factorization.

3252240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12208 (or 12194 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 3252240640 is about 57028.4195818190. The cubic root of 3252240640 is about 1481.5883604769.

The spelling of 3252240640 in words is "three billion, two hundred fifty-two million, two hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 64 76 80 88 95 110 128 152 160 176 190 209 220 256 304 320 352 380 418 440 608 640 704 760 836 880 1045 1216 1280 1408 1520 1672 1760 2090 2432 2816 3040 3344 3520 4180 4864 6080 6688 7040 8360 12157 12160 13376 14080 16720 24314 24320 26752 33440 48628 53504 60785 66880 97256 121570 133727 133760 194512 230983 243140 267454 267520 389024 461966 486280 534908 668635 778048 923932 972560 1069816 1154915 1337270 1556096 1847864 1945120 2139632 2309830 2540813 2674540 3112192 3695728 3890240 4279264 4619660 5081626 5349080 7391456 7780480 8558528 9239320 10163252 10698160 12704065 14782912 15560960 17117056 18478640 20326504 21396320 25408130 29565824 34234112 36957280 40653008 42792640 50816260 59131648 73914560 81306016 85585280 101632520 147829120 162612032 171170560 203265040 295658240 325224064 406530080 650448128 813060160 1626120320 3252240640