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743494680 = 233356311091
BaseRepresentation
bin101100010100001…
…101010000011000
31220211000102222000
4230110031100120
53010313312210
6201435401000
724265412655
oct5424152030
91824012860
10743494680
11351757615
12188bb3160
13bb05a7a6
1470a5ac2c
1545414ac0
hex2c50d418

743494680 has 128 divisors (see below), whose sum is σ = 2484518400. Its totient is φ = 197769600.

The previous prime is 743494667. The next prime is 743494691. The reversal of 743494680 is 86494347.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 680935 + ... + 682025.

It is an arithmetic number, because the mean of its divisors is an integer number (19410300).

Almost surely, 2743494680 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 743494680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242259200).

743494680 is an abundant number, since it is smaller than the sum of its proper divisors (1741023720).

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

743494680 is a wasteful number, since it uses less digits than its factorization.

743494680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 743494680 is about 27267.0988555805. The cubic root of 743494680 is about 905.9257866495.

The spelling of 743494680 in words is "seven hundred forty-three million, four hundred ninety-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 631 1080 1091 1262 1893 2182 2524 3155 3273 3786 4364 5048 5455 5679 6310 6546 7572 8728 9465 9819 10910 11358 12620 13092 15144 16365 17037 18930 19638 21820 22716 25240 26184 28395 29457 32730 34074 37860 39276 43640 45432 49095 56790 58914 65460 68148 75720 78552 85185 98190 113580 117828 130920 136296 147285 170370 196380 227160 235656 294570 340740 392760 589140 681480 688421 1178280 1376842 2065263 2753684 3442105 4130526 5507368 6195789 6884210 8261052 10326315 12391578 13768420 16522104 18587367 20652630 24783156 27536840 30978945 37174734 41305260 49566312 61957890 74349468 82610520 92936835 123915780 148698936 185873670 247831560 371747340 743494680