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10429314 = 237248317
BaseRepresentation
bin100111110010…
…001110000010
3201121212022220
4213302032002
510132214224
61011311510
7154435110
oct47621602
921555286
1010429314
115983775
1235ab596
1322120bc
141556ab0
15db0279
hex9f2382

10429314 has 16 divisors (see below), whose sum is σ = 23838528. Its totient is φ = 2979792.

The previous prime is 10429283. The next prime is 10429337. The reversal of 10429314 is 41392401.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 124117 + ... + 124200.

It is an arithmetic number, because the mean of its divisors is an integer number (1489908).

Almost surely, 210429314 is an apocalyptic number.

10429314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10429314 is an abundant number, since it is smaller than the sum of its proper divisors (13409214).

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

10429314 is a wasteful number, since it uses less digits than its factorization.

10429314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248329.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10429314 is about 3229.4448439322. Note that the first 3 decimals coincide. The cubic root of 10429314 is about 218.4834681430.

The spelling of 10429314 in words is "ten million, four hundred twenty-nine thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 248317 496634 744951 1489902 1738219 3476438 5214657 10429314