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30768036 = 223131271553
BaseRepresentation
bin111010101011…
…1101110100100
32010220011210220
41311113232210
530334034121
63015244340
7522344505
oct165275644
963804726
1030768036
1116405532
12a3796b0
1364b3750
14412cbac
152a7b6c6
hex1d57ba4

30768036 has 48 divisors (see below), whose sum is σ = 77973504. Its totient is φ = 9386496.

The previous prime is 30768029. The next prime is 30768041. The reversal of 30768036 is 63086703.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 30767988 and 30768006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19036 + ... + 20588.

It is an arithmetic number, because the mean of its divisors is an integer number (1624448).

Almost surely, 230768036 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 30768036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38986752).

30768036 is an abundant number, since it is smaller than the sum of its proper divisors (47205468).

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

30768036 is a wasteful number, since it uses less digits than its factorization.

30768036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 30768036 is about 5546.8942661637. The cubic root of 30768036 is about 313.3525681065.

The spelling of 30768036 in words is "thirty million, seven hundred sixty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 127 156 254 381 508 762 1524 1553 1651 3106 3302 4659 4953 6212 6604 9318 9906 18636 19812 20189 40378 60567 80756 121134 197231 242268 394462 591693 788924 1183386 2366772 2564003 5128006 7692009 10256012 15384018 30768036