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3245125240 = 2357176731013
BaseRepresentation
bin1100000101101100…
…1010111001111000
322101011021102221201
43001123022321320
523121223001430
61254002143544
7143263052350
oct30133127170
98334242851
103245125240
111415874695
12766951bb4
133c940b166
1422adb3b60
1513ed638ca
hexc16cae78

3245125240 has 128 divisors (see below), whose sum is σ = 8857330560. Its totient is φ = 1044578304.

The previous prime is 3245125237. The next prime is 3245125241. The reversal of 3245125240 is 425215423.

3245125240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3245125199 and 3245125208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3245125241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3202974 + ... + 3203986.

It is an arithmetic number, because the mean of its divisors is an integer number (69197895).

Almost surely, 23245125240 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 3245125240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428665280).

3245125240 is an abundant number, since it is smaller than the sum of its proper divisors (5612205320).

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

3245125240 is a wasteful number, since it uses less digits than its factorization.

3245125240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 3245125240 is about 56966.0007372819. Note that the first 3 decimals coincide. The cubic root of 3245125240 is about 1480.5070760637.

The spelling of 3245125240 in words is "three billion, two hundred forty-five million, one hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 673 680 952 1013 1190 1346 2026 2380 2692 3365 4052 4711 4760 5065 5384 6730 7091 8104 9422 10130 11441 13460 14182 17221 18844 20260 22882 23555 26920 28364 34442 35455 37688 40520 45764 47110 56728 57205 68884 70910 80087 86105 91528 94220 114410 120547 137768 141820 160174 172210 188440 228820 241094 283640 320348 344420 400435 457640 482188 602735 640696 681749 688840 800870 964376 1205470 1363498 1601740 2410940 2726996 3203480 3408745 4772243 4821880 5453992 6817490 9544486 11589733 13634980 19088972 23179466 23861215 27269960 38177944 46358932 47722430 57948665 81128131 92717864 95444860 115897330 162256262 190889720 231794660 324512524 405640655 463589320 649025048 811281310 1622562620 3245125240