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30440816 = 2471911423
BaseRepresentation
bin111010000011…
…1110101110000
32010021112221122
41310013311300
530243101231
63004241412
7516512510
oct164076560
963245848
1030440816
11162016aa
12a240268
1363ca823
144085840
152a1477b
hex1d07d70

30440816 has 40 divisors (see below), whose sum is σ = 67805184. Its totient is φ = 12968640.

The previous prime is 30440803. The next prime is 30440843. The reversal of 30440816 is 61804403.

It is a super-3 number, since 3×304408163 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 20681 + ... + 22103.

Almost surely, 230440816 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 30440816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33902592).

30440816 is an abundant number, since it is smaller than the sum of its proper divisors (37364368).

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

30440816 is a wasteful number, since it uses less digits than its factorization.

30440816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 30440816 is about 5517.3196391001. The cubic root of 30440816 is about 312.2377652870.

The spelling of 30440816 in words is "thirty million, four hundred forty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 191 382 764 1337 1423 1528 2674 2846 3056 5348 5692 9961 10696 11384 19922 21392 22768 39844 79688 159376 271793 543586 1087172 1902551 2174344 3805102 4348688 7610204 15220408 30440816