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3413010112 = 26234095669
BaseRepresentation
bin1100101101101110…
…0110011011000000
322210212011212200221
43023123212123000
523442212310422
61322400352424
7150402051541
oct31333463300
98725155627
103413010112
1114a1612016
127b3015714
1342512c815
142453d64c8
1514e9773c7
hexcb6e66c0

3413010112 has 56 divisors (see below), whose sum is σ = 7085685600. Its totient is φ = 1628030976.

The previous prime is 3413010091. The next prime is 3413010119. The reversal of 3413010112 is 2110103143.

3413010112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34130101122 = 23297276049228505088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3413010119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 599214 + ... + 604882.

It is an arithmetic number, because the mean of its divisors is an integer number (126530100).

Almost surely, 23413010112 is an apocalyptic number.

3413010112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542842800).

3413010112 is an abundant number, since it is smaller than the sum of its proper divisors (3672675488).

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

3413010112 is a wasteful number, since it uses less digits than its factorization.

3413010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6113 (or 6103 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 3413010112 is about 58420.9732202400. The cubic root of 3413010112 is about 1505.6101192532.

Adding to 3413010112 its reverse (2110103143), we get a palindrome (5523113255).

The spelling of 3413010112 in words is "three billion, four hundred thirteen million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 409 736 818 1472 1636 3272 5669 6544 9407 11338 13088 18814 22676 26176 37628 45352 75256 90704 130387 150512 181408 260774 301024 362816 521548 602048 1043096 2086192 2318621 4172384 4637242 8344768 9274484 18548968 37097936 53328283 74195872 106656566 148391744 213313132 426626264 853252528 1706505056 3413010112