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745934940 = 223359071523
BaseRepresentation
bin101100011101100…
…001000001011100
31220222121102101000
4230131201001130
53011424404230
6202003550300
724325225302
oct5435410134
91828542330
10745934940
11353073a63
1218998b390
13bb70342a
14710d4272
1545747b60
hex2c76105c

745934940 has 96 divisors (see below), whose sum is σ = 2324770560. Its totient is φ = 198566208.

The previous prime is 745934887. The next prime is 745934941. The reversal of 745934940 is 49439547.

It is a happy number.

745934940 is a `hidden beast` number, since 74 + 5 + 93 + 494 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745934941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489019 + ... + 490541.

It is an arithmetic number, because the mean of its divisors is an integer number (24216360).

Almost surely, 2745934940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 745934940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162385280).

745934940 is an abundant number, since it is smaller than the sum of its proper divisors (1578835620).

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

745934940 is a wasteful number, since it uses less digits than its factorization.

745934940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 745934940 is about 27311.8095336065. The cubic root of 745934940 is about 906.9158319544.

The spelling of 745934940 in words is "seven hundred forty-five million, nine hundred thirty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 907 1523 1814 2721 3046 3628 4535 4569 5442 6092 7615 8163 9070 9138 10884 13605 13707 15230 16326 18140 18276 22845 24489 27210 27414 30460 32652 40815 41121 45690 48978 54420 54828 68535 81630 82242 91380 97956 122445 137070 163260 164484 205605 244890 274140 411210 489780 822420 1381361 2762722 4144083 5525444 6906805 8288166 12432249 13813610 16576332 20720415 24864498 27627220 37296747 41440830 49728996 62161245 74593494 82881660 124322490 149186988 186483735 248644980 372967470 745934940