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6734954940 = 22357217134753
BaseRepresentation
bin1100100010110111…
…10100000110111100
3122101101000011022120
412101123310012330
5102243122024230
63032145242540
7325620113100
oct62133640674
918341004276
106734954940
11294678536a
12137b633450
1383442654c
1447c685900
15296412310
hex1916f41bc

6734954940 has 144 divisors (see below), whose sum is σ = 23227277472. Its totient is φ = 1448853504.

The previous prime is 6734954927. The next prime is 6734954981. The reversal of 6734954940 is 494594376.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

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, 17397 + ... + 117356.

It is an arithmetic number, because the mean of its divisors is an integer number (161300538).

Almost surely, 26734954940 is an apocalyptic number.

6734954940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6734954940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11613638736).

6734954940 is an abundant number, since it is smaller than the sum of its proper divisors (16492322532).

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

6734954940 is a wasteful number, since it uses less digits than its factorization.

6734954940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134796 (or 134787 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The square root of 6734954940 is about 82066.7712292862. The cubic root of 6734954940 is about 1888.4764127229.

The spelling of 6734954940 in words is "six billion, seven hundred thirty-four million, nine hundred fifty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 49 51 60 68 70 84 85 98 102 105 119 140 147 170 196 204 210 238 245 255 294 340 357 420 476 490 510 588 595 714 735 833 980 1020 1190 1428 1470 1666 1785 2380 2499 2940 3332 3570 4165 4998 7140 8330 9996 12495 16660 24990 49980 134753 269506 404259 539012 673765 808518 943271 1347530 1617036 1886542 2021295 2290801 2695060 2829813 3773084 4042590 4581602 4716355 5659626 6602897 6872403 8085180 9163204 9432710 11319252 11454005 13205794 13744806 14149065 16035607 18865420 19808691 22908010 26411588 27489612 28298130 32071214 33014485 34362015 39617382 45816020 48106821 56596260 64142428 66028970 68724030 79234764 80178035 96213642 99043455 112249249 132057940 137448060 160356070 192427284 198086910 224498498 240534105 320712140 336747747 396173820 448996996 481068210 561246245 673495494 962136420 1122492490 1346990988 1683738735 2244984980 3367477470 6734954940