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1242434700 = 223752131923
BaseRepresentation
bin100101000001110…
…0000110010001100
310012120212020000000
41022003200302030
510021030402300
6323141404300
742534343413
oct11203406214
93176766000
101242434700
1158835a641
122a8109690
1316a531280
14bb01847a
157411dc00
hex4a0e0c8c

1242434700 has 576 divisors, whose sum is σ = 4783027200. Its totient is φ = 277136640.

The previous prime is 1242434663. The next prime is 1242434701. The reversal of 1242434700 is 74342421.

It is a super-4 number, since 4×12424347004 (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1242434701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54018889 + ... + 54018911.

Almost surely, 21242434700 is an apocalyptic number.

1242434700 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 1242434700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391513600).

1242434700 is an abundant number, since it is smaller than the sum of its proper divisors (3540592500).

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

1242434700 is a wasteful number, since it uses less digits than its factorization.

1242434700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 1242434700 is about 35248.1871874285. The cubic root of 1242434700 is about 1075.0397533523.

The spelling of 1242434700 in words is "one billion, two hundred forty-two million, four hundred thirty-four thousand, seven hundred".