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30424400 = 2452233307
BaseRepresentation
bin111010000001…
…1110101010000
32010020201102122
41310003311100
530242040100
63004033412
7516413606
oct164036520
963221378
1030424400
11161a0336
12a232868
1363c3206
14407d876
152a0e985
hex1d03d50

30424400 has 60 divisors (see below), whose sum is σ = 76295712. Its totient is φ = 11637120.

The previous prime is 30424399. The next prime is 30424403. The reversal of 30424400 is 442403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30424403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7547 + ... + 10853.

Almost surely, 230424400 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 30424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38147856).

30424400 is an abundant number, since it is smaller than the sum of its proper divisors (45871312).

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

30424400 is a wasteful number, since it uses less digits than its factorization.

30424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 30424400 is about 5515.8317595808. The cubic root of 30424400 is about 312.1816277553.

Adding to 30424400 its reverse (442403), we get a palindrome (30866803).

The spelling of 30424400 in words is "thirty million, four hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 3307 4600 6614 9200 13228 16535 26456 33070 52912 66140 76061 82675 132280 152122 165350 264560 304244 330700 380305 608488 661400 760610 1216976 1322800 1521220 1901525 3042440 3803050 6084880 7606100 15212200 30424400