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1014445350 = 233524871543
BaseRepresentation
bin111100011101110…
…011010100100110
32121200212011102000
4330131303110212
54034144222400
6244355030130
734065433422
oct7435632446
92550764360
101014445350
1148069a896
1224389b346
13132227229
1498a2bb82
155e0d6600
hex3c773526

1014445350 has 96 divisors (see below), whose sum is σ = 2802915840. Its totient is φ = 269788320.

The previous prime is 1014445309. The next prime is 1014445357. The reversal of 1014445350 is 535444101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014445357) 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, 656679 + ... + 658221.

It is an arithmetic number, because the mean of its divisors is an integer number (29197040).

Almost surely, 21014445350 is an apocalyptic number.

1014445350 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 1014445350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401457920).

1014445350 is an abundant number, since it is smaller than the sum of its proper divisors (1788470490).

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

1014445350 is a wasteful number, since it uses less digits than its factorization.

1014445350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1014445350 is about 31850.3587106959. The cubic root of 1014445350 is about 1004.7921156120.

Adding to 1014445350 its reverse (535444101), we get a palindrome (1549889451).

The spelling of 1014445350 in words is "one billion, fourteen million, four hundred forty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 487 675 974 1350 1461 1543 2435 2922 3086 4383 4629 4870 7305 7715 8766 9258 12175 13149 13887 14610 15430 21915 23145 24350 26298 27774 36525 38575 41661 43830 46290 65745 69435 73050 77150 83322 109575 115725 131490 138870 208305 219150 231450 328725 347175 416610 657450 694350 751441 1041525 1502882 2083050 2254323 3757205 4508646 6762969 7514410 11271615 13525938 18786025 20288907 22543230 33814845 37572050 40577814 56358075 67629690 101444535 112716150 169074225 202889070 338148450 507222675 1014445350