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74134800 = 24325220593
BaseRepresentation
bin1000110101100…
…11010100010000
312011111102211100
410122303110100
5122434303200
611204544400
71560064305
oct432632420
9164442740
1074134800
1138935633
12209b2100
131248885c
149bbb0ac
156795d00
hex46b3510

74134800 has 90 divisors (see below), whose sum is σ = 257280842. Its totient is φ = 19768320.

The previous prime is 74134799. The next prime is 74134813. The reversal of 74134800 is 843147.

It can be written as a sum of positive squares in 3 ways, for example, as 20903184 + 53231616 = 4572^2 + 7296^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 17 ways as a sum of consecutive naturals, for example, 6697 + ... + 13896.

Almost surely, 274134800 is an apocalyptic number.

It is an amenable number.

74134800 is an abundant number, since it is smaller than the sum of its proper divisors (183146042).

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

74134800 is a wasteful number, since it uses less digits than its factorization.

74134800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20617 (or 20603 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 74134800 is about 8610.1567929974. The cubic root of 74134800 is about 420.0884167597.

Adding to 74134800 its reverse (843147), we get a palindrome (74977947).

The spelling of 74134800 in words is "seventy-four million, one hundred thirty-four thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 20593 41186 61779 82372 102965 123558 164744 185337 205930 247116 308895 329488 370674 411860 494232 514825 617790 741348 823720 926685 988464 1029650 1235580 1482696 1544475 1647440 1853370 2059300 2471160 2965392 3088950 3706740 4118600 4633425 4942320 6177900 7413480 8237200 9266850 12355800 14826960 18533700 24711600 37067400 74134800