Search a number
-
+
325067100 = 2235243113223
BaseRepresentation
bin10011011000000…
…010000101011100
3211122200010020020
4103120002011130
51131204121400
652131152140
711025011331
oct2330020534
9748603206
10325067100
111575457a6
1290a45650
13524666c7
143125a988
151d8112a0
hex1360215c

325067100 has 144 divisors (see below), whose sum is σ = 975270912. Its totient is φ = 83543040.

The previous prime is 325067069. The next prime is 325067107. The reversal of 325067100 is 1760523.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325067107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1457589 + ... + 1457811.

Almost surely, 2325067100 is an apocalyptic number.

325067100 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 325067100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487635456).

325067100 is an abundant number, since it is smaller than the sum of its proper divisors (650203812).

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

325067100 is a wasteful number, since it uses less digits than its factorization.

325067100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 325067100 is about 18029.6173004310. The cubic root of 325067100 is about 687.5817467534.

The spelling of 325067100 in words is "three hundred twenty-five million, sixty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 113 129 150 172 215 223 226 258 300 339 430 446 452 516 565 645 669 678 860 892 1075 1115 1130 1290 1338 1356 1695 2150 2230 2260 2580 2676 2825 3225 3345 3390 4300 4460 4859 5575 5650 6450 6690 6780 8475 9589 9718 11150 11300 12900 13380 14577 16725 16950 19178 19436 22300 24295 25199 28767 29154 33450 33900 38356 47945 48590 50398 57534 58308 66900 72885 75597 95890 97180 100796 115068 121475 125995 143835 145770 151194 191780 239725 242950 251990 287670 291540 302388 364425 377985 479450 485900 503980 575340 629975 719175 728850 755970 958900 1083557 1259950 1438350 1457700 1511940 1889925 2167114 2519900 2876700 3250671 3779850 4334228 5417785 6501342 7559700 10835570 13002684 16253355 21671140 27088925 32506710 54177850 65013420 81266775 108355700 162533550 325067100