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30358314 = 2347191409
BaseRepresentation
bin111001111001…
…1101100101010
32010010100210000
41303303230222
530232431224
63002403430
7516020130
oct163635452
963110700
1030358314
1116155718
12a200576
13639c0cc
144063750
1529ea0c9
hex1cf3b2a

30358314 has 80 divisors (see below), whose sum is σ = 81892800. Its totient is φ = 8211456.

The previous prime is 30358283. The next prime is 30358319. The reversal of 30358314 is 41385303.

It is a happy number.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (30358319) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20842 + ... + 22250.

It is an arithmetic number, because the mean of its divisors is an integer number (1023660).

Almost surely, 230358314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30358314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40946400).

30358314 is an abundant number, since it is smaller than the sum of its proper divisors (51534486).

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

30358314 is a wasteful number, since it uses less digits than its factorization.

30358314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 30358314 is about 5509.8379286509. The cubic root of 30358314 is about 311.9554300239.

The spelling of 30358314 in words is "thirty million, three hundred fifty-eight thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 266 342 378 399 513 567 798 1026 1134 1197 1409 1539 2394 2818 3078 3591 4227 7182 8454 9863 10773 12681 19726 21546 25362 26771 29589 38043 53542 59178 76086 80313 88767 114129 160626 177534 187397 228258 240939 266301 374794 481878 532602 562191 722817 798903 1124382 1445634 1597806 1686573 2168451 3373146 4336902 5059719 10119438 15179157 30358314