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3431411046 = 23379077807
BaseRepresentation
bin1100110010000111…
…0010110101100110
322212010210202001000
43030201302311212
524011420123141
61324255014130
7151014340560
oct31441626546
98763722030
103431411046
111500a3a9a8
127b920a346
13428ba314b
14247a26330
151513ae5b6
hexcc872d66

3431411046 has 32 divisors (see below), whose sum is σ = 8714695680. Its totient is φ = 980403048.

The previous prime is 3431411041. The next prime is 3431411047. The reversal of 3431411046 is 6401141343.

3431411046 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×34314110464 (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431411041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4538526 + ... + 4539281.

It is an arithmetic number, because the mean of its divisors is an integer number (272334240).

Almost surely, 23431411046 is an apocalyptic number.

3431411046 is an abundant number, since it is smaller than the sum of its proper divisors (5283284634).

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

3431411046 is a wasteful number, since it uses less digits than its factorization.

3431411046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9077825 (or 9077819 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3431411046 is about 58578.2472083281. The cubic root of 3431411046 is about 1508.3110578303.

Adding to 3431411046 its reverse (6401141343), we get a palindrome (9832552389).

The spelling of 3431411046 in words is "three billion, four hundred thirty-one million, four hundred eleven thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 9077807 18155614 27233421 54466842 63544649 81700263 127089298 163400526 190633947 245100789 381267894 490201578 571901841 1143803682 1715705523 3431411046