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331350030 = 232511230427
BaseRepresentation
bin10011110000000…
…000000000001110
3212002111022210100
4103300000000032
51134311200110
652513551530
711132300034
oct2360000016
9762438710
10331350030
11160047200
1292b755a6
135385640b
1432014554
151e152bc0
hex13c0000e

331350030 has 72 divisors (see below), whose sum is σ = 946980216. Its totient is φ = 80324640.

The previous prime is 331349989. The next prime is 331350031. The reversal of 331350030 is 30053133.

331350030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331349985 and 331350012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331350031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4324 + ... + 26103.

It is an arithmetic number, because the mean of its divisors is an integer number (13152503).

Almost surely, 2331350030 is an apocalyptic number.

331350030 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 331350030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473490108).

331350030 is an abundant number, since it is smaller than the sum of its proper divisors (615630186).

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

331350030 is a wasteful number, since it uses less digits than its factorization.

331350030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30462 (or 30448 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 18.

The square root of 331350030 is about 18203.0225512139. The cubic root of 331350030 is about 691.9833922418.

The spelling of 331350030 in words is "three hundred thirty-one million, three hundred fifty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 30427 60854 91281 152135 182562 273843 304270 334697 456405 547686 669394 912810 1004091 1369215 1673485 2008182 2738430 3012273 3346970 3681667 5020455 6024546 7363334 10040910 11045001 15061365 18408335 22090002 30122730 33135003 36816670 55225005 66270006 110450010 165675015 331350030