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30245076 = 2234277337
BaseRepresentation
bin111001101100…
…0000011010100
32002220121110000
41303120003110
530220320301
63000131300
7515036031
oct163300324
962817400
1030245076
1116088634
12a166b30
13635c6c4
144034388
1529c6786
hex1cd80d4

30245076 has 60 divisors (see below), whose sum is σ = 79587508. Its totient is φ = 10015488.

The previous prime is 30245027. The next prime is 30245087. The reversal of 30245076 is 67054203.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6625476 + 23619600 = 2574^2 + 4860^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 89580 + ... + 89916.

Almost surely, 230245076 is an apocalyptic number.

30245076 is a gapful number since it is divisible by the number (36) 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 30245076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39793754).

30245076 is an abundant number, since it is smaller than the sum of its proper divisors (49342432).

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

30245076 is a wasteful number, since it uses less digits than its factorization.

30245076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 30245076 is about 5499.5523454187. The cubic root of 30245076 is about 311.5670770803.

Adding to 30245076 its reverse (67054203), we get a palindrome (97299279).

It can be divided in two parts, 3024 and 5076, that added together give a square (8100 = 902).

The spelling of 30245076 in words is "thirty million, two hundred forty-five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 277 324 337 554 674 831 1011 1108 1348 1662 2022 2493 3033 3324 4044 4986 6066 7479 9099 9972 12132 14958 18198 22437 27297 29916 36396 44874 54594 89748 93349 109188 186698 280047 373396 560094 840141 1120188 1680282 2520423 3360564 5040846 7561269 10081692 15122538 30245076