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325056000 = 293531693
BaseRepresentation
bin10011010111111…
…111011000000000
3211122122120000010
4103113333120000
51131203243000
652131024520
711024634063
oct2327773000
9748576003
10325056000
11157538425
1290a3b140
1352461639
14312568da
151d80cd50
hex135ff600

325056000 has 160 divisors (see below), whose sum is σ = 1081368288. Its totient is φ = 86630400.

The previous prime is 325055999. The next prime is 325056001. The reversal of 325056000 is 650523.

325056000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (325055999) and next prime (325056001).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×3250560002 = 211322806272000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325056001) 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, 191154 + ... + 192846.

Almost surely, 2325056000 is an apocalyptic number.

325056000 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 325056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540684144).

325056000 is an abundant number, since it is smaller than the sum of its proper divisors (756312288).

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

325056000 is an equidigital number, since it uses as much as digits as its factorization.

325056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 325056000 is about 18029.3094709698. The cubic root of 325056000 is about 687.5739204264.

The spelling of 325056000 in words is "three hundred twenty-five million, fifty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 512 600 640 750 768 800 960 1000 1200 1280 1500 1536 1600 1693 1920 2000 2400 2560 3000 3200 3386 3840 4000 4800 5079 6000 6400 6772 7680 8000 8465 9600 10158 12000 12800 13544 16000 16930 19200 20316 24000 25395 27088 32000 33860 38400 40632 42325 48000 50790 54176 64000 67720 81264 84650 96000 101580 108352 126975 135440 162528 169300 192000 203160 211625 216704 253950 270880 325056 338600 406320 423250 433408 507900 541760 634875 650112 677200 812640 846500 866816 1015800 1083520 1269750 1300224 1354400 1625280 1693000 2031600 2167040 2539500 2600448 2708800 3250560 3386000 4063200 4334080 5079000 5417600 6501120 6772000 8126400 10158000 10835200 13002240 13544000 16252800 20316000 21670400 27088000 32505600 40632000 54176000 65011200 81264000 108352000 162528000 325056000