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30311352 = 233273279
BaseRepresentation
bin111001110100…
…0001110111000
32010000222100200
41303220032320
530224430402
63001402200
7515433201
oct163501670
963028320
1030311352
1116123405
12a199360
136383916
1440505a8
1529db21c
hex1ce83b8

30311352 has 72 divisors (see below), whose sum is σ = 84286800. Its totient is φ = 9839232.

The previous prime is 30311339. The next prime is 30311363. The reversal of 30311352 is 25311303.

30311352 is a `hidden beast` number, since 3 + 0 + 311 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 383649 + ... + 383727.

It is an arithmetic number, because the mean of its divisors is an integer number (1170650).

Almost surely, 230311352 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 30311352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42143400).

30311352 is an abundant number, since it is smaller than the sum of its proper divisors (53975448).

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

30311352 is a wasteful number, since it uses less digits than its factorization.

30311352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 30311352 is about 5505.5746294097. The cubic root of 30311352 is about 311.7944899096.

Adding to 30311352 its reverse (25311303), we get a palindrome (55622655).

The spelling of 30311352 in words is "thirty million, three hundred eleven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 79 146 158 219 237 292 316 438 474 584 632 657 711 876 948 1314 1422 1752 1896 2628 2844 5256 5329 5688 5767 10658 11534 15987 17301 21316 23068 31974 34602 42632 46136 47961 51903 63948 69204 95922 103806 127896 138408 191844 207612 383688 415224 420991 841982 1262973 1683964 2525946 3367928 3788919 5051892 7577838 10103784 15155676 30311352