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330400422 = 232112295231
BaseRepresentation
bin10011101100011…
…000001010100110
3212000201002011200
4103230120022212
51134040303142
652441343330
711121233352
oct2354301246
9760632150
10330400422
1115a558800
1292797b46
13535b3111
1431c48462
151e01664c
hex13b182a6

330400422 has 72 divisors (see below), whose sum is σ = 814151520. Its totient is φ = 96650400.

The previous prime is 330400403. The next prime is 330400453. The reversal of 330400422 is 224004033.

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 = 330400395 and 330400404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60547 + ... + 65777.

It is an arithmetic number, because the mean of its divisors is an integer number (11307660).

Almost surely, 2330400422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330400422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407075760).

330400422 is an abundant number, since it is smaller than the sum of its proper divisors (483751098).

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

330400422 is a wasteful number, since it uses less digits than its factorization.

330400422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5290 (or 5276 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 330400422 is about 18176.9200361337. The cubic root of 330400422 is about 691.3217136123.

Adding to 330400422 its reverse (224004033), we get a palindrome (554404455).

The spelling of 330400422 in words is "three hundred thirty million, four hundred thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 121 174 198 242 261 319 363 522 638 726 957 1089 1914 2178 2871 3509 5231 5742 7018 10462 10527 15693 21054 31386 31581 47079 57541 63162 94158 115082 151699 172623 303398 345246 455097 517869 632951 910194 1035738 1265902 1365291 1668689 1898853 2730582 3337378 3797706 5006067 5696559 10012134 11393118 15018201 18355579 30036402 36711158 55066737 110133474 165200211 330400422