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30313040 = 2451731719
BaseRepresentation
bin111001110100…
…0101001010000
32010001001200012
41303220221100
530230004130
63001414052
7515441132
oct163505120
963031605
1030313040
11161246aa
12a19a328
136384614
144051052
1529db995
hex1ce8a50

30313040 has 80 divisors (see below), whose sum is σ = 77137920. Its totient is φ = 11028480.

The previous prime is 30313039. The next prime is 30313043. The reversal of 30313040 is 4031303.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30313043) 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 15 ways as a sum of consecutive naturals, for example, 41801 + ... + 42519.

It is an arithmetic number, because the mean of its divisors is an integer number (964224).

Almost surely, 230313040 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 30313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38568960).

30313040 is an abundant number, since it is smaller than the sum of its proper divisors (46824880).

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

30313040 is a wasteful number, since it uses less digits than its factorization.

30313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 30313040 is about 5505.7279264417. The cubic root of 30313040 is about 311.8002776128.

Adding to 30313040 its reverse (4031303), we get a palindrome (34344343).

The spelling of 30313040 in words is "thirty million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 248 272 310 340 496 527 620 680 719 1054 1240 1360 1438 2108 2480 2635 2876 3595 4216 5270 5752 7190 8432 10540 11504 12223 14380 21080 22289 24446 28760 42160 44578 48892 57520 61115 89156 97784 111445 122230 178312 195568 222890 244460 356624 378913 445780 488920 757826 891560 977840 1515652 1783120 1894565 3031304 3789130 6062608 7578260 15156520 30313040