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30413718 = 2341941241
BaseRepresentation
bin111010000000…
…1001110010110
32010020011210000
41310001032112
530241214333
63003512130
7516340506
oct164011626
963204700
1030413718
1116193305
12a228646
1363bb3aa
144079a06
152a0b713
hex1d01396

30413718 has 80 divisors (see below), whose sum is σ = 73790640. Its totient is φ = 9331200.

The previous prime is 30413717. The next prime is 30413729. The reversal of 30413718 is 81731403.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 30413691 and 30413700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30413717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 126078 + ... + 126318.

It is an arithmetic number, because the mean of its divisors is an integer number (922383).

It is a vampire number, since it can be written as 43387011 (with its own digits).

Almost surely, 230413718 is an apocalyptic number.

30413718 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30413718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36895320).

30413718 is an abundant number, since it is smaller than the sum of its proper divisors (43376922).

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

30413718 is a wasteful number, since it uses less digits than its factorization.

30413718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 30413718 is about 5514.8633709277. The cubic root of 30413718 is about 312.1450878455.

The spelling of 30413718 in words is "thirty million, four hundred thirteen thousand, seven hundred eighteen".

Divisors: 1 2 3 6 9 18 19 27 38 41 54 57 81 82 114 123 162 171 241 246 342 369 482 513 723 738 779 1026 1107 1446 1539 1558 2169 2214 2337 3078 3321 4338 4579 4674 6507 6642 7011 9158 9881 13014 13737 14022 19521 19762 21033 27474 29643 39042 41211 42066 59286 63099 82422 88929 123633 126198 177858 187739 247266 266787 370899 375478 533574 563217 741798 800361 1126434 1600722 1689651 3379302 5068953 10137906 15206859 30413718