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1029591342 = 2321319367631
BaseRepresentation
bin111101010111100…
…101000100101110
32122202100122210200
4331113211010232
54102033410332
6250055414330
734341245013
oct7527450456
92582318720
101029591342
114891a523a
122489843a6
131353cb160
149aa5170a
15605c917c
hex3d5e512e

1029591342 has 96 divisors (see below), whose sum is σ = 2539729920. Its totient is φ = 298831680.

The previous prime is 1029591337. The next prime is 1029591347. The reversal of 1029591342 is 2431959201.

1029591342 is a `hidden beast` number, since 1 + 0 + 29 + 591 + 3 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (1029591337) and next prime (1029591347).

It is a junction number, because it is equal to n+sod(n) for n = 1029591297 and 1029591306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029591347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1631367 + ... + 1631997.

It is an arithmetic number, because the mean of its divisors is an integer number (26455520).

Almost surely, 21029591342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1029591342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269864960).

1029591342 is an abundant number, since it is smaller than the sum of its proper divisors (1510138578).

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

1029591342 is a wasteful number, since it uses less digits than its factorization.

1029591342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1029591342 is about 32087.2457839560. The cubic root of 1029591342 is about 1009.7680550937.

The spelling of 1029591342 in words is "one billion, twenty-nine million, five hundred ninety-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 367 494 631 734 741 1101 1262 1482 1893 2202 2223 3303 3786 4446 4771 5679 6606 6973 8203 9542 11358 11989 13946 14313 16406 20919 23978 24609 28626 35967 41838 42939 49218 62757 71934 73827 85878 90649 107901 125514 147654 155857 181298 215802 231577 271947 311714 463154 467571 543894 694731 815841 935142 1389462 1402713 1631682 2084193 2805426 3010501 4168386 4399963 6021002 8799926 9031503 13199889 18063006 26399778 27094509 39599667 54189018 57199519 79199334 114399038 171598557 343197114 514795671 1029591342