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325145040 = 243511791559
BaseRepresentation
bin10011011000010…
…101000111010000
3211122211002010220
4103120111013100
51131214120130
652132553040
711025454503
oct2330250720
9748732126
10325145040
11157599310
1290a82780
135249301c
143127b13a
151d829410
hex136151d0

325145040 has 160 divisors (see below), whose sum is σ = 1114214400. Its totient is φ = 77775360.

The previous prime is 325145033. The next prime is 325145053. The reversal of 325145040 is 40541523.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 325145040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207781 + ... + 209339.

It is an arithmetic number, because the mean of its divisors is an integer number (6963840).

Almost surely, 2325145040 is an apocalyptic number.

325145040 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 325145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557107200).

325145040 is an abundant number, since it is smaller than the sum of its proper divisors (789069360).

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

325145040 is a wasteful number, since it uses less digits than its factorization.

325145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 325145040 is about 18031.7786144351. The cubic root of 325145040 is about 687.6366952434.

Adding to 325145040 its reverse (40541523), we get a palindrome (365686563).

The spelling of 325145040 in words is "three hundred twenty-five million, one hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 79 80 88 110 120 132 158 165 176 220 237 240 264 316 330 395 440 474 528 632 660 790 869 880 948 1185 1264 1320 1559 1580 1738 1896 2370 2607 2640 3118 3160 3476 3792 4345 4677 4740 5214 6236 6320 6952 7795 8690 9354 9480 10428 12472 13035 13904 15590 17149 17380 18708 18960 20856 23385 24944 26070 31180 34298 34760 37416 41712 46770 51447 52140 62360 68596 69520 74832 85745 93540 102894 104280 123161 124720 137192 171490 187080 205788 208560 246322 257235 274384 342980 369483 374160 411576 492644 514470 615805 685960 738966 823152 985288 1028940 1231610 1354771 1371920 1477932 1847415 1970576 2057880 2463220 2709542 2955864 3694830 4064313 4115760 4926440 5419084 5911728 6773855 7389660 8128626 9852880 10838168 13547710 14779320 16257252 20321565 21676336 27095420 29558640 32514504 40643130 54190840 65029008 81286260 108381680 162572520 325145040