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3413442042 = 2322910363487
BaseRepresentation
bin1100101101110100…
…1111110111111010
322210212222211012100
43023131033313322
523442320121132
61322413524230
7150405531033
oct31335176772
98725884170
103413442042
1114a188758a
127b31a3676
134252512ba
142454a9a8a
1514ea1037c
hexcb74fdfa

3413442042 has 48 divisors (see below), whose sum is σ = 7725219840. Its totient is φ = 1087896096.

The previous prime is 3413442007. The next prime is 3413442047. The reversal of 3413442042 is 2402443143.

It is a happy number.

3413442042 is a `hidden beast` number, since 3 + 413 + 44 + 204 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3413441997 and 3413442015.

It is not an unprimeable number, because it can be changed into a prime (3413442047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22023 + ... + 85509.

It is an arithmetic number, because the mean of its divisors is an integer number (160942080).

Almost surely, 23413442042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413442042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862609920).

3413442042 is an abundant number, since it is smaller than the sum of its proper divisors (4311777798).

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

3413442042 is a wasteful number, since it uses less digits than its factorization.

3413442042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63627 (or 63624 counting only the distinct ones).

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

The square root of 3413442042 is about 58424.6698065124. The cubic root of 3413442042 is about 1505.6736302231.

Adding to 3413442042 its reverse (2402443143), we get a palindrome (5815885185).

It can be divided in two parts, 34134 and 42042, that added together give a square (76176 = 2762).

The spelling of 3413442042 in words is "three billion, four hundred thirteen million, four hundred forty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 103 174 206 261 309 522 618 927 1854 2987 5974 8961 17922 26883 53766 63487 126974 190461 380922 571383 1142766 1841123 3682246 5523369 6539161 11046738 13078322 16570107 19617483 33140214 39234966 58852449 117704898 189635669 379271338 568907007 1137814014 1706721021 3413442042