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30613408 = 257197193
BaseRepresentation
bin111010011000…
…1111110100000
32010121022200221
41310301332200
530314112113
63012052424
7521131630
oct164617640
963538627
1030613408
111630a341
12a304114
13645b257
1440cc6c0
152a4a98d
hex1d31fa0

30613408 has 48 divisors (see below), whose sum is σ = 72515520. Its totient is φ = 12427776.

The previous prime is 30613367. The next prime is 30613409. The reversal of 30613408 is 80431603.

It is not an unprimeable number, because it can be changed into a prime (30613409) 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, 660 + ... + 7852.

It is an arithmetic number, because the mean of its divisors is an integer number (1510740).

Almost surely, 230613408 is an apocalyptic number.

30613408 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30613408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36257760).

30613408 is an abundant number, since it is smaller than the sum of its proper divisors (41902112).

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

30613408 is a wasteful number, since it uses less digits than its factorization.

30613408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7229 (or 7221 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 30613408 is about 5532.9384598060. The cubic root of 30613408 is about 312.8267575221.

The spelling of 30613408 in words is "thirty million, six hundred thirteen thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 7193 14386 28772 50351 57544 100702 115088 136667 201404 230176 273334 402808 546668 805616 956669 1093336 1611232 1913338 2186672 3826676 4373344 7653352 15306704 30613408