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1006642434 = 237154915473
BaseRepresentation
bin111100000000000…
…010010100000010
32121011011201211010
4330000002110002
54030200024214
6243515501350
733642214410
oct7400022402
92534151733
101006642434
114772503a6
12241157856
13130724715
149799a2b0
155d594659
hex3c002502

1006642434 has 32 divisors (see below), whose sum is σ = 2302531200. Its totient is φ = 287407872.

The previous prime is 1006642393. The next prime is 1006642451. The reversal of 1006642434 is 4342466001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57322 + ... + 72794.

It is an arithmetic number, because the mean of its divisors is an integer number (71954100).

Almost surely, 21006642434 is an apocalyptic number.

1006642434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1006642434 is an abundant number, since it is smaller than the sum of its proper divisors (1295888766).

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

1006642434 is a wasteful number, since it uses less digits than its factorization.

1006642434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17034.

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 1006642434 is about 31727.6288745314. The cubic root of 1006642434 is about 1002.2092602415.

The spelling of 1006642434 in words is "one billion, six million, six hundred forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 1549 3098 4647 9294 10843 15473 21686 30946 32529 46419 65058 92838 108311 216622 324933 649866 23967677 47935354 71903031 143806062 167773739 335547478 503321217 1006642434