Search a number
-
+
30077281332 = 223272234715773
BaseRepresentation
bin11100000000101111…
…101110010000110100
32212122010201012102200
4130000233232100310
5443044241000312
621452312304500
72113225446600
oct340057562064
985563635380
1030077281332
11118349286aa
1259b49a2130
132ab43b2bb7
141654804500
15bb07e20dc
hex700bee434

30077281332 has 216 divisors, whose sum is σ = 94256338176. Its totient is φ = 8044477056.

The previous prime is 30077281321. The next prime is 30077281361. The reversal of 30077281332 is 23318277003.

30077281332 is a `hidden beast` number, since 300 + 77 + 281 + 3 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1898998 + ... + 1914770.

It is an arithmetic number, because the mean of its divisors is an integer number (436371936).

Almost surely, 230077281332 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 30077281332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47128169088).

30077281332 is an abundant number, since it is smaller than the sum of its proper divisors (64179056844).

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

30077281332 is a wasteful number, since it uses less digits than its factorization.

30077281332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15867 (or 15855 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 30077281332 in words is "thirty billion, seventy-seven million, two hundred eighty-one thousand, three hundred thirty-two".