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741664080 = 243351073209
BaseRepresentation
bin101100001101001…
…110010101010000
31220200120102212000
4230031032111100
53004331222310
6201332234000
724244016643
oct5415162520
91820512760
10741664080
11350717223
1218846b900
13ba8694b1
1470701a5a
15451a24c0
hex2c34e550

741664080 has 160 divisors (see below), whose sum is σ = 2579299200. Its totient is φ = 195867648.

The previous prime is 741664019. The next prime is 741664081. The reversal of 741664080 is 80466147.

741664080 is a `hidden beast` number, since 7 + 4 + 1 + 6 + 640 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741664081) 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, 229516 + ... + 232724.

It is an arithmetic number, because the mean of its divisors is an integer number (16120620).

Almost surely, 2741664080 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 741664080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289649600).

741664080 is an abundant number, since it is smaller than the sum of its proper divisors (1837635120).

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

741664080 is a wasteful number, since it uses less digits than its factorization.

741664080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 741664080 is about 27233.5102401435. The cubic root of 741664080 is about 905.1816653512.

The spelling of 741664080 in words is "seven hundred forty-one million, six hundred sixty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 107 108 120 135 144 180 214 216 240 270 321 360 428 432 535 540 642 720 856 963 1070 1080 1284 1605 1712 1926 2140 2160 2568 2889 3209 3210 3852 4280 4815 5136 5778 6418 6420 7704 8560 9627 9630 11556 12836 12840 14445 15408 16045 19254 19260 23112 25672 25680 28881 28890 32090 38508 38520 46224 48135 51344 57762 57780 64180 77016 77040 86643 96270 115524 115560 128360 144405 154032 173286 192540 231048 231120 256720 288810 343363 346572 385080 433215 462096 577620 686726 693144 770160 866430 1030089 1155240 1373452 1386288 1716815 1732860 2060178 2310480 2746904 3090267 3433630 3465720 4120356 5150445 5493808 6180534 6867260 6931440 8240712 9270801 10300890 12361068 13734520 15451335 16481424 18541602 20601780 24722136 27469040 30902670 37083204 41203560 46354005 49444272 61805340 74166408 82407120 92708010 123610680 148332816 185416020 247221360 370832040 741664080