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30388288 = 267292339
BaseRepresentation
bin111001111101…
…1000001000000
32010011212220011
41303323001000
530234411123
63003154304
7516203410
oct163730100
963155804
1030388288
1116176197
12a215994
1363ac948
144070640
152a03e0d
hex1cfb040

30388288 has 56 divisors (see below), whose sum is σ = 71323200. Its totient is φ = 12569088.

The previous prime is 30388279. The next prime is 30388289. The reversal of 30388288 is 88288303.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 30388288.

It is not an unprimeable number, because it can be changed into a prime (30388289) 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 7 ways as a sum of consecutive naturals, for example, 11823 + ... + 14161.

Almost surely, 230388288 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 30388288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35661600).

30388288 is an abundant number, since it is smaller than the sum of its proper divisors (40934912).

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

30388288 is a wasteful number, since it uses less digits than its factorization.

30388288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 30388288 is about 5512.5573012895. The cubic root of 30388288 is about 312.0580650204.

The spelling of 30388288 in words is "thirty million, three hundred eighty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1624 1856 2339 3248 4678 6496 9356 12992 16373 18712 32746 37424 65492 67831 74848 130984 135662 149696 261968 271324 474817 523936 542648 949634 1047872 1085296 1899268 2170592 3798536 4341184 7597072 15194144 30388288