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6734068040 = 235723539733
BaseRepresentation
bin1100100010110000…
…11011100101001000
3122101022100002201102
412101120123211020
5102242410134130
63032114240532
7325606430300
oct62130334510
918338302642
106734068040
112946229a97
12137b286148
138341a595b
1447c4d4600
152962d9645
hex19161b948

6734068040 has 96 divisors (see below), whose sum is σ = 17677138680. Its totient is φ = 2302046208.

The previous prime is 6734068013. The next prime is 6734068049. The reversal of 6734068040 is 408604376.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6139976164 + 594091876 = 78358^2 + 24374^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6734067985 and 6734068003.

It is not an unprimeable number, because it can be changed into a prime (6734068049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 687014 + ... + 696746.

Almost surely, 26734068040 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 6734068040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8838569340).

6734068040 is an abundant number, since it is smaller than the sum of its proper divisors (10943070640).

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

6734068040 is a wasteful number, since it uses less digits than its factorization.

6734068040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10111 (or 10100 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 6734068040 is about 82061.3675245545. The cubic root of 6734068040 is about 1888.3935137147.

The spelling of 6734068040 in words is "six billion, seven hundred thirty-four million, sixty-eight thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 353 392 490 706 980 1412 1765 1960 2471 2824 3530 4942 7060 9733 9884 12355 14120 17297 19466 19768 24710 34594 38932 48665 49420 68131 69188 77864 86485 97330 98840 136262 138376 172970 194660 272524 340655 345940 389320 476917 545048 681310 691880 953834 1362620 1907668 2384585 2725240 3435749 3815336 4769170 6871498 9538340 13742996 17178745 19076680 24050243 27485992 34357490 48100486 68714980 96200972 120251215 137429960 168351701 192401944 240502430 336703402 481004860 673406804 841758505 962009720 1346813608 1683517010 3367034020 6734068040