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30045816 = 2334199233
BaseRepresentation
bin111001010011…
…1011001111000
32002112111010000
41302213121320
530142431231
62551553000
7513246063
oct162473170
962474100
1030045816
1115a61959
12a08b760
1362bcab8
143dc18da
1529876e6
hex1ca7678

30045816 has 80 divisors (see below), whose sum is σ = 84942000. Its totient is φ = 9922176.

The previous prime is 30045811. The next prime is 30045871. The reversal of 30045816 is 61854003.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30045816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30045811) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 128836 + ... + 129068.

It is an arithmetic number, because the mean of its divisors is an integer number (1061775).

Almost surely, 230045816 is an apocalyptic number.

30045816 is a gapful number since it is divisible by the number (36) 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 30045816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42471000).

30045816 is an abundant number, since it is smaller than the sum of its proper divisors (54896184).

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

30045816 is a wasteful number, since it uses less digits than its factorization.

30045816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 30045816 is about 5481.4063888750. The cubic root of 30045816 is about 310.8813489895.

Adding to 30045816 its reverse (61854003), we get a palindrome (91899819).

The spelling of 30045816 in words is "thirty million, forty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 199 216 233 324 398 466 597 648 699 796 932 1194 1398 1592 1791 1864 2097 2388 2796 3582 4194 4776 5373 5592 6291 7164 8388 10746 12582 14328 16119 16776 18873 21492 25164 32238 37746 42984 46367 50328 64476 75492 92734 128952 139101 150984 185468 278202 370936 417303 556404 834606 1112808 1251909 1669212 2503818 3338424 3755727 5007636 7511454 10015272 15022908 30045816