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30355344 = 2433292423
BaseRepresentation
bin111001111001…
…0111110010000
32010010012201000
41303302332100
530232332334
63002342000
7516005355
oct163627620
963105630
1030355344
1116153468
12a1ba900
13639a956
14406262c
1529e9299
hex1cf2f90

30355344 has 80 divisors (see below), whose sum is σ = 90172800. Its totient is φ = 9765504.

The previous prime is 30355343. The next prime is 30355397. The reversal of 30355344 is 44355303.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (30355343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11317 + ... + 13739.

It is an arithmetic number, because the mean of its divisors is an integer number (1127160).

Almost surely, 230355344 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 30355344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45086400).

30355344 is an abundant number, since it is smaller than the sum of its proper divisors (59817456).

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

30355344 is a wasteful number, since it uses less digits than its factorization.

30355344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 30355344 is about 5509.5684041493. The cubic root of 30355344 is about 311.9452566675.

The spelling of 30355344 in words is "thirty million, three hundred fifty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 2088 2423 3132 4176 4846 6264 7269 9692 12528 14538 19384 21807 29076 38768 43614 58152 65421 70267 87228 116304 130842 140534 174456 210801 261684 281068 348912 421602 523368 562136 632403 843204 1046736 1124272 1264806 1686408 1897209 2529612 3372816 3794418 5059224 7588836 10118448 15177672 30355344