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30699344 = 2413373989
BaseRepresentation
bin111010100011…
…0111101010000
32010202200120202
41311012331100
530324334334
63013554332
7521640314
oct165067520
963680522
1030699344
1116368965
12a3459a8
13648b3c0
144111b44
152a6617e
hex1d46f50

30699344 has 40 divisors (see below), whose sum is σ = 65803080. Its totient is φ = 13782528.

The previous prime is 30699341. The next prime is 30699359. The reversal of 30699344 is 44399603.

It can be written as a sum of positive squares in 4 ways, for example, as 4892944 + 25806400 = 2212^2 + 5080^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30699298 and 30699307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30699341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5702 + ... + 9690.

It is an arithmetic number, because the mean of its divisors is an integer number (1645077).

Almost surely, 230699344 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 30699344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32901540).

30699344 is an abundant number, since it is smaller than the sum of its proper divisors (35103736).

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

30699344 is a wasteful number, since it uses less digits than its factorization.

30699344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4047 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 38.

The square root of 30699344 is about 5540.6988728860. The cubic root of 30699344 is about 313.1191998028.

The spelling of 30699344 in words is "thirty million, six hundred ninety-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1924 3848 3989 7696 7978 15956 31912 51857 63824 103714 147593 207428 295186 414856 590372 829712 1180744 1918709 2361488 3837418 7674836 15349672 30699344