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1002434070 = 2351117223457
BaseRepresentation
bin111011101111111…
…110111000010110
32120212020221000210
4323233332320112
54023110342240
6243245350250
733561356211
oct7357767026
92525227023
101002434070
11474936610
1223b868386
1312c8b0071
14971c2778
155d012780
hex3bbfee16

1002434070 has 192 divisors, whose sum is σ = 2915606016. Its totient is φ = 218296320.

The previous prime is 1002434057. The next prime is 1002434071. The reversal of 1002434070 is 704342001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002434071) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2193282 + ... + 2193738.

It is an arithmetic number, because the mean of its divisors is an integer number (15185448).

Almost surely, 21002434070 is an apocalyptic number.

1002434070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002434070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457803008).

1002434070 is an abundant number, since it is smaller than the sum of its proper divisors (1913171946).

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

1002434070 is a wasteful number, since it uses less digits than its factorization.

1002434070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 1002434070 is about 31661.2392366439. The cubic root of 1002434070 is about 1000.8106992558.

Adding to 1002434070 its reverse (704342001), we get a palindrome (1706776071).

The spelling of 1002434070 in words is "one billion, two million, four hundred thirty-four thousand, seventy".