Search a number
-
+
332427000 = 23353293821
BaseRepresentation
bin10011110100000…
…110111011111000
3212011112001010010
4103310012323320
51140100131000
652553021520
711144403633
oct2364067370
9764461103
10332427000
11160712364
12933b48a0
1353b42689
1432214c1a
151e2b6d50
hex13d06ef8

332427000 has 128 divisors (see below), whose sum is σ = 1073217600. Its totient is φ = 85568000.

The previous prime is 332426989. The next prime is 332427047. The reversal of 332427000 is 724233.

It is a happy number.

It is a super-2 number, since 2×3324270002 = 221015420658000000, which contains 22 as substring.

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, 85090 + ... + 88910.

Almost surely, 2332427000 is an apocalyptic number.

332427000 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 332427000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536608800).

332427000 is an abundant number, since it is smaller than the sum of its proper divisors (740790600).

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

332427000 is a wasteful number, since it uses less digits than its factorization.

332427000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 332427000 is about 18232.5807279167. The cubic root of 332427000 is about 692.7322874990.

The spelling of 332427000 in words is "three hundred thirty-two million, four hundred twenty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 125 145 150 174 200 232 250 290 300 348 375 435 500 580 600 696 725 750 870 1000 1160 1450 1500 1740 2175 2900 3000 3480 3625 3821 4350 5800 7250 7642 8700 10875 11463 14500 15284 17400 19105 21750 22926 29000 30568 38210 43500 45852 57315 76420 87000 91704 95525 110809 114630 152840 191050 221618 229260 286575 332427 382100 443236 458520 477625 554045 573150 664854 764200 886472 955250 1108090 1146300 1329708 1432875 1662135 1910500 2216180 2292600 2659416 2770225 2865750 3324270 3821000 4432360 5540450 5731500 6648540 8310675 11080900 11463000 13297080 13851125 16621350 22161800 27702250 33242700 41553375 55404500 66485400 83106750 110809000 166213500 332427000