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30259416 = 23311611879
BaseRepresentation
bin111001101101…
…1100011011000
32002221100010010
41303123203120
530221300131
63000321520
7515125605
oct163334330
962840103
1030259416
1116098390
12a1732a0
1363660a5
1440396ac
1529cab46
hex1cdb8d8

30259416 has 64 divisors (see below), whose sum is σ = 83923200. Its totient is φ = 9014400.

The previous prime is 30259409. The next prime is 30259417. The reversal of 30259416 is 61495203.

It is a super-2 number, since 2×302594162 = 1831264513322112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30259417) 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, 15165 + ... + 17043.

It is an arithmetic number, because the mean of its divisors is an integer number (1311300).

Almost surely, 230259416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30259416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41961600).

30259416 is an abundant number, since it is smaller than the sum of its proper divisors (53663784).

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

30259416 is a wasteful number, since it uses less digits than its factorization.

30259416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 30259416 is about 5500.8559333980. The cubic root of 30259416 is about 311.6163100635.

The spelling of 30259416 in words is "thirty million, two hundred fifty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 122 132 183 244 264 366 488 671 732 1342 1464 1879 2013 2684 3758 4026 5368 5637 7516 8052 11274 15032 16104 20669 22548 41338 45096 62007 82676 114619 124014 165352 229238 248028 343857 458476 496056 687714 916952 1260809 1375428 2521618 2750856 3782427 5043236 7564854 10086472 15129708 30259416