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12348299340 = 22345132233753
BaseRepresentation
bin10111000000000010…
…00001100001001100
31011212120111121020000
423200001001201030
5200242131034330
65401150524300
7615000545466
oct134001014114
934776447200
1012348299340
115267325073
122487506690
13121a373900
14851da5136
154c4120560
hex2e004184c

12348299340 has 720 divisors, whose sum is σ = 45800935488. Its totient is φ = 2775472128.

The previous prime is 12348299323. The next prime is 12348299371. The reversal of 12348299340 is 4399284321.

12348299340 is a `hidden beast` number, since 12 + 3 + 4 + 8 + 299 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 232986754 + ... + 232986806.

Almost surely, 212348299340 is an apocalyptic number.

12348299340 is a gapful number since it is divisible by the number (10) 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 12348299340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22900467744).

12348299340 is an abundant number, since it is smaller than the sum of its proper divisors (33452636148).

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

12348299340 is a wasteful number, since it uses less digits than its factorization.

12348299340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 12348299340 in words is "twelve billion, three hundred forty-eight million, two hundred ninety-nine thousand, three hundred forty".