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325538640 = 24325764591
BaseRepresentation
bin10011011001110…
…101001101010000
3211200120002001200
4103121311031100
51131314214030
652145231200
711032014150
oct2331651520
9750502050
10325538640
11157837aa9
1291032500
13525a021b
1431340760
151d8a5d60
hex13675350

325538640 has 120 divisors (see below), whose sum is σ = 1249467648. Its totient is φ = 74407680.

The previous prime is 325538599. The next prime is 325538641. The reversal of 325538640 is 46835523.

It is a happy number.

325538640 is a `hidden beast` number, since 3 + 2 + 5 + 5 + 3 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3255386402 = 211950812266099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 325538595 and 325538604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325538641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27256 + ... + 37335.

Almost surely, 2325538640 is an apocalyptic number.

325538640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

325538640 is an abundant number, since it is smaller than the sum of its proper divisors (923929008).

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

325538640 is a wasteful number, since it uses less digits than its factorization.

325538640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64617 (or 64608 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 325538640 is about 18042.6893782496. The cubic root of 325538640 is about 687.9140531722.

The spelling of 325538640 in words is "three hundred twenty-five million, five hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 64591 129182 193773 258364 322955 387546 452137 516728 581319 645910 775092 904274 968865 1033456 1162638 1291820 1356411 1550184 1808548 1937730 2260685 2325276 2583640 2712822 2906595 3100368 3617096 3875460 4069233 4521370 4650552 5167280 5425644 5813190 6782055 7234192 7750920 8138466 9042740 9301104 10851288 11626380 13564110 15501840 16276932 18085480 20346165 21702576 23252760 27128220 32553864 36170960 40692330 46505520 54256440 65107728 81384660 108512880 162769320 325538640