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3410444004 = 22311200312899
BaseRepresentation
bin1100101101000111…
…0011111011100100
322210200100111122220
43023101303323210
523441033202004
61322225352340
7150341203302
oct31321637344
98720314586
103410444004
1114a011a070
127b21986b0
13424741806
14244d29272
1514e61bdd9
hexcb473ee4

3410444004 has 48 divisors (see below), whose sum is σ = 8686137600. Its totient is φ = 1032871840.

The previous prime is 3410443999. The next prime is 3410444057. The reversal of 3410444004 is 4004440143.

It is a super-2 number, since 2×34104440042 = 23262256608839104032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257947 + ... + 270845.

It is an arithmetic number, because the mean of its divisors is an integer number (180961200).

Almost surely, 23410444004 is an apocalyptic number.

It is an amenable number.

3410444004 is an abundant number, since it is smaller than the sum of its proper divisors (5275693596).

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

3410444004 is a wasteful number, since it uses less digits than its factorization.

3410444004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14920 (or 14918 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3410444004 is about 58399.0068751173. The cubic root of 3410444004 is about 1505.2326883114.

Adding to 3410444004 its reverse (4004440143), we get a palindrome (7414884147).

The spelling of 3410444004 in words is "three billion, four hundred ten million, four hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 2003 4006 6009 8012 12018 12899 22033 24036 25798 38697 44066 51596 66099 77394 88132 132198 141889 154788 264396 283778 425667 567556 851334 1702668 25836697 51673394 77510091 103346788 155020182 284203667 310040364 568407334 852611001 1136814668 1705222002 3410444004