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3413420442 = 23210117310853
BaseRepresentation
bin1100101101110100…
…1010100110011010
322210212221201120100
43023131022212122
523442313423232
61322413240230
7150405411045
oct31335124632
98725851510
103413420442
1114a1872333
127b3193076
13425244513
142454a1c5c
1514ea08c7c
hexcb74a99a

3413420442 has 48 divisors (see below), whose sum is σ = 7512834888. Its totient is φ = 1119926400.

The previous prime is 3413420411. The next prime is 3413420443. The reversal of 3413420442 is 2440243143.

It is a happy number.

3413420442 is a `hidden beast` number, since 3 + 413 + 4 + 204 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3327097761 + 86322681 = 57681^2 + 9291^2 .

It is a super-2 number, since 2×34134204422 = 23302878227726950728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3413420443) 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 23 ways as a sum of consecutive naturals, for example, 309088 + ... + 319940.

Almost surely, 23413420442 is an apocalyptic number.

3413420442 is an abundant number, since it is smaller than the sum of its proper divisors (4099414446).

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

3413420442 is a wasteful number, since it uses less digits than its factorization.

3413420442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11135 (or 11132 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3413420442 is about 58424.4849528004. The cubic root of 3413420442 is about 1505.6704542872.

Adding to 3413420442 its reverse (2440243143), we get a palindrome (5853663585).

The spelling of 3413420442 in words is "three billion, four hundred thirteen million, four hundred twenty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 101 173 202 303 346 519 606 909 1038 1557 1818 3114 10853 17473 21706 32559 34946 52419 65118 97677 104838 157257 195354 314514 1096153 1877569 2192306 3288459 3755138 5632707 6576918 9865377 11265414 16898121 19730754 33796242 189634469 379268938 568903407 1137806814 1706710221 3413420442