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3405311442 = 234131985103
BaseRepresentation
bin1100101011111000…
…1110110111010010
322210022200202010000
43022332032313102
523433224431232
61321523350430
7150246445461
oct31276166722
98708622100
103405311442
111498233985
127b0522416
134236655b0
142443909d8
1514de5627c
hexcaf8edd2

3405311442 has 80 divisors (see below), whose sum is σ = 8649970560. Its totient is φ = 992629728.

The previous prime is 3405311431. The next prime is 3405311447. The reversal of 3405311442 is 2441135043.

It is a happy number.

3405311442 is a `hidden beast` number, since 340 + 5 + 311 + 4 + 4 + 2 = 666.

It is a super-2 number, since 2×34053114422 = 23192292034032238728, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3405311447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2538 + ... + 82565.

It is an arithmetic number, because the mean of its divisors is an integer number (108124632).

Almost surely, 23405311442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3405311442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324985280).

3405311442 is an abundant number, since it is smaller than the sum of its proper divisors (5244659118).

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

3405311442 is a wasteful number, since it uses less digits than its factorization.

3405311442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85149 (or 85140 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3405311442 is about 58355.0464141706. The cubic root of 3405311442 is about 1504.4772071151.

Adding to 3405311442 its reverse (2441135043), we get a palindrome (5846446485).

The spelling of 3405311442 in words is "three billion, four hundred five million, three hundred eleven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 81 114 117 162 171 234 247 342 351 494 513 702 741 1026 1053 1482 1539 2106 2223 3078 4446 6669 13338 20007 40014 85103 170206 255309 510618 765927 1106339 1531854 1616957 2212678 2297781 3233914 3319017 4595562 4850871 6638034 6893343 9701742 9957051 13786686 14552613 19914102 21020441 29105226 29871153 42040882 43657839 59742306 63061323 87315678 89613459 126122646 130973517 179226918 189183969 261947034 378367938 567551907 1135103814 1702655721 3405311442