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332464230 = 23357533319
BaseRepresentation
bin10011110100010…
…000000001100110
3212011120221012000
4103310100001212
51140102323410
652553510130
711144620320
oct2364200146
9764527160
10332464230
1116073832a
1293412346
1353b565c7
1432224610
151e2c2dc0
hex13d10066

332464230 has 128 divisors (see below), whose sum is σ = 1032652800. Its totient is φ = 74535552.

The previous prime is 332464201. The next prime is 332464247. The reversal of 332464230 is 32464233.

It is a happy number.

332464230 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3324642302 = 221064928458985800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 332464194 and 332464203.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 98511 + ... + 101829.

It is an arithmetic number, because the mean of its divisors is an integer number (8067600).

Almost surely, 2332464230 is an apocalyptic number.

332464230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 332464230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516326400).

332464230 is an abundant number, since it is smaller than the sum of its proper divisors (700188570).

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

332464230 is a wasteful number, since it uses less digits than its factorization.

332464230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 332464230 is about 18233.6016738328. The cubic root of 332464230 is about 692.7581472720.

The spelling of 332464230 in words is "three hundred thirty-two million, four hundred sixty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 53 54 63 70 90 105 106 126 135 159 189 210 265 270 315 318 371 378 477 530 630 742 795 945 954 1113 1431 1590 1855 1890 2226 2385 2862 3319 3339 3710 4770 5565 6638 6678 7155 9957 10017 11130 14310 16595 16695 19914 20034 23233 29871 33190 33390 46466 49785 50085 59742 69699 89613 99570 100170 116165 139398 149355 175907 179226 209097 232330 298710 348495 351814 418194 448065 527721 627291 696990 879535 896130 1045485 1055442 1231349 1254582 1583163 1759070 2090970 2462698 2638605 3136455 3166326 3694047 4749489 5277210 6156745 6272910 7388094 7915815 9498978 11082141 12313490 15831630 18470235 22164282 23747445 33246423 36940470 47494890 55410705 66492846 110821410 166232115 332464230