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1242354672 = 243413193881
BaseRepresentation
bin100101000001100…
…1101001111110000
310012120201011020000
41022003031033300
510021020322142
6323135550000
742533561166
oct11203151760
93176634200
101242354672
115883054a9
122a808b300
1316a503a10
14badd7236
157410514c
hex4a0cd3f0

1242354672 has 200 divisors, whose sum is σ = 4077186960. Its totient is φ = 362050560.

The previous prime is 1242354629. The next prime is 1242354709. The reversal of 1242354672 is 2764532421.

1242354672 is a `hidden beast` number, since 1 + 2 + 42 + 3 + 546 + 72 = 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 39 ways as a sum of consecutive naturals, for example, 318172 + ... + 322052.

Almost surely, 21242354672 is an apocalyptic number.

1242354672 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 1242354672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038593480).

1242354672 is an abundant number, since it is smaller than the sum of its proper divisors (2834832288).

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

1242354672 is a wasteful number, since it uses less digits than its factorization.

1242354672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3933 (or 3918 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 1242354672 is about 35247.0519618308. The cubic root of 1242354672 is about 1075.0166709511.

The spelling of 1242354672 in words is "one billion, two hundred forty-two million, three hundred fifty-four thousand, six hundred seventy-two".