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331211430 = 23551112391
BaseRepresentation
bin10011101111011…
…110001010100110
3212002020021200000
4103233132022212
51134242231210
652511002130
711131151664
oct2357361246
9762207600
10331211430
1115aa62060
1292b09346
13538082c4
1431db9c34
151e126ac0
hex13bde2a6

331211430 has 96 divisors (see below), whose sum is σ = 974308608. Its totient is φ = 80287200.

The previous prime is 331211429. The next prime is 331211437. The reversal of 331211430 is 34112133.

It is a super-2 number, since 2×3312114302 = 219402022725289800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331211437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20535 + ... + 32925.

It is an arithmetic number, because the mean of its divisors is an integer number (10149048).

Almost surely, 2331211430 is an apocalyptic number.

331211430 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 331211430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487154304).

331211430 is an abundant number, since it is smaller than the sum of its proper divisors (643097178).

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

331211430 is a wasteful number, since it uses less digits than its factorization.

331211430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12424 (or 12412 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 331211430 is about 18199.2150929649. The cubic root of 331211430 is about 691.8868958230.

Adding to 331211430 its reverse (34112133), we get a palindrome (365323563).

The spelling of 331211430 in words is "three hundred thirty-one million, two hundred eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 594 810 891 990 1215 1485 1782 2430 2673 2970 4455 5346 8910 12391 13365 24782 26730 37173 61955 74346 111519 123910 136301 185865 223038 272602 334557 371730 408903 557595 669114 681505 817806 1003671 1115190 1226709 1363010 1672785 2007342 2044515 2453418 3011013 3345570 3680127 4089030 5018355 6022026 6133545 7360254 10036710 11040381 12267090 15055065 18400635 22080762 30110130 33121143 36801270 55201905 66242286 110403810 165605715 331211430