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1023342012 = 22357113113
BaseRepresentation
bin111100111111101…
…111010110111100
32122022121011100000
4330333233112330
54043433421022
6245313434300
734234156260
oct7477572674
92568534300
101023342012
11485717000
1224686b990
13134020824
1499ca60a0
155ec926ac
hex3cfef5bc

1023342012 has 288 divisors, whose sum is σ = 3402008064. Its totient is φ = 263450880.

The previous prime is 1023342007. The next prime is 1023342029. The reversal of 1023342012 is 2102433201.

1023342012 is a `hidden beast` number, since 1 + 0 + 233 + 420 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9056068 + ... + 9056180.

It is an arithmetic number, because the mean of its divisors is an integer number (11812528).

Almost surely, 21023342012 is an apocalyptic number.

1023342012 is a gapful number since it is divisible by the number (12) 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 1023342012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701004032).

1023342012 is an abundant number, since it is smaller than the sum of its proper divisors (2378666052).

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

1023342012 is a wasteful number, since it uses less digits than its factorization.

1023342012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1023342012 is about 31989.7172854028. The cubic root of 1023342012 is about 1007.7209048741.

Adding to 1023342012 its reverse (2102433201), we get a palindrome (3125775213).

The spelling of 1023342012 in words is "one billion, twenty-three million, three hundred forty-two thousand, twelve".