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30640000 = 2754383
BaseRepresentation
bin111010011100…
…0011110000000
32010122200011211
41310320132000
530320440000
63012415504
7521302306
oct164703600
963580154
1030640000
1116328316
12a317594
13646a3a1
1440d8276
152a537ba
hex1d38780

30640000 has 80 divisors (see below), whose sum is σ = 76475520. Its totient is φ = 12224000.

The previous prime is 30639953. The next prime is 30640019. The reversal of 30640000 is 4603.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 79809 + ... + 80191.

It is an arithmetic number, because the mean of its divisors is an integer number (955944).

Almost surely, 230640000 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 30640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38237760).

30640000 is an abundant number, since it is smaller than the sum of its proper divisors (45835520).

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

30640000 is an frugal number, since it uses more digits than its factorization.

30640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 30640000 is about 5535.3410012392. The cubic root of 30640000 is about 312.9173091484.

Adding to 30640000 its reverse (4603), we get a palindrome (30644603).

The spelling of 30640000 in words is "thirty million, six hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 383 400 500 625 640 766 800 1000 1250 1532 1600 1915 2000 2500 3064 3200 3830 4000 5000 6128 7660 8000 9575 10000 12256 15320 16000 19150 20000 24512 30640 38300 40000 47875 49024 61280 76600 80000 95750 122560 153200 191500 239375 245120 306400 383000 478750 612800 766000 957500 1225600 1532000 1915000 3064000 3830000 6128000 7660000 15320000 30640000