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1004434314 = 231329444047
BaseRepresentation
bin111011110111100…
…111001110001010
32121000000112211220
4323313213032022
54024113344224
6243400302510
733614356632
oct7367471612
92530015756
101004434314
11475a82404
12240471a36
13130130640
14975836c2
155d2aa279
hex3bde738a

1004434314 has 32 divisors (see below), whose sum is σ = 2238001920. Its totient is φ = 298398912.

The previous prime is 1004434303. The next prime is 1004434351. The reversal of 1004434314 is 4134344001.

It is a super-2 number, since 2×10044343142 = 2017776582281301192, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219762 + ... + 224285.

It is an arithmetic number, because the mean of its divisors is an integer number (69937560).

Almost surely, 21004434314 is an apocalyptic number.

1004434314 is an abundant number, since it is smaller than the sum of its proper divisors (1233567606).

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

1004434314 is a wasteful number, since it uses less digits than its factorization.

1004434314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444094.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1004434314 is about 31692.8117086509. The cubic root of 1004434314 is about 1001.4759252397.

Adding to 1004434314 its reverse (4134344001), we get a palindrome (5138778315).

The spelling of 1004434314 in words is "one billion, four million, four hundred thirty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 377 754 1131 2262 444047 888094 1332141 2664282 5772611 11545222 12877363 17317833 25754726 34635666 38632089 77264178 167405719 334811438 502217157 1004434314