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325434000 = 2435373743
BaseRepresentation
bin10011011001011…
…011101010010000
3211200100202112010
4103121123222100
51131302342000
652143102520
711031100113
oct2331335220
9750322463
10325434000
11157776421
1290ba1a40
13525646c8
143131457a
151d884d50
hex1365ba90

325434000 has 160 divisors (see below), whose sum is σ = 1065003264. Its totient is φ = 85478400.

The previous prime is 325433987. The next prime is 325434007. The reversal of 325434000 is 434523.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (325434007) 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, 437629 + ... + 438371.

Almost surely, 2325434000 is an apocalyptic number.

325434000 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 325434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532501632).

325434000 is an abundant number, since it is smaller than the sum of its proper divisors (739569264).

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

325434000 is a wasteful number, since it uses less digits than its factorization.

325434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 325434000 is about 18039.7893557547. The cubic root of 325434000 is about 687.8403383789.

Adding to 325434000 its reverse (434523), we get a palindrome (325868523).

The spelling of 325434000 in words is "three hundred twenty-five million, four hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 73 75 80 100 120 125 146 150 200 219 240 250 292 300 365 375 400 438 500 584 600 730 743 750 876 1000 1095 1168 1200 1460 1486 1500 1752 1825 2000 2190 2229 2920 2972 3000 3504 3650 3715 4380 4458 5475 5840 5944 6000 7300 7430 8760 8916 9125 10950 11145 11888 14600 14860 17520 17832 18250 18575 21900 22290 27375 29200 29720 35664 36500 37150 43800 44580 54239 54750 55725 59440 73000 74300 87600 89160 92875 108478 109500 111450 146000 148600 162717 178320 185750 216956 219000 222900 271195 278625 297200 325434 371500 433912 438000 445800 542390 557250 650868 743000 813585 867824 891600 1084780 1114500 1301736 1355975 1486000 1627170 2169560 2229000 2603472 2711950 3254340 4067925 4339120 4458000 5423900 6508680 6779875 8135850 10847800 13017360 13559750 16271700 20339625 21695600 27119500 32543400 40679250 54239000 65086800 81358500 108478000 162717000 325434000