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30754312380 = 22325111941127157
BaseRepresentation
bin11100101001000110…
…011001000010111100
32221101022122221102200
4130221012121002330
51000441100444010
622043415351500
72136056225211
oct345106310274
987338587380
1030754312380
111205200a0a0
125b63682590
132b9173c69c
1416ba6bdb08
15beee78cc0
hex7291990bc

30754312380 has 576 divisors, whose sum is σ = 111306424320. Its totient is φ = 6793113600.

The previous prime is 30754312373. The next prime is 30754312429. The reversal of 30754312380 is 8321345703.

30754312380 is a `hidden beast` number, since 30 + 7 + 543 + 1 + 2 + 3 + 80 = 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 191 ways as a sum of consecutive naturals, for example, 195887262 + ... + 195887418.

It is an arithmetic number, because the mean of its divisors is an integer number (193240320).

Almost surely, 230754312380 is an apocalyptic number.

30754312380 is a gapful number since it is divisible by the number (30) 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 30754312380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55653212160).

30754312380 is an abundant number, since it is smaller than the sum of its proper divisors (80552111940).

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

30754312380 is a wasteful number, since it uses less digits than its factorization.

30754312380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 30754312380 in words is "thirty billion, seven hundred fifty-four million, three hundred twelve thousand, three hundred eighty".