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3360071680 = 2135711719
BaseRepresentation
bin1100100001000110…
…1010000000000000
322200011120022211021
43020101222000000
523340134243210
61313225555224
7146160065230
oct31021520000
98604508737
103360071680
111474744649
12799345b14
13417185ac4
1423c375cc0
15149ebbbda
hexc846a000

3360071680 has 112 divisors (see below), whose sum is σ = 9216420480. Its totient is φ = 1151926272.

The previous prime is 3360071677. The next prime is 3360071681. The reversal of 3360071680 is 861700633.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×33600716802 = 22580163389476044800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3360071681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280861 + ... + 292579.

Almost surely, 23360071680 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 3360071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608210240).

3360071680 is an abundant number, since it is smaller than the sum of its proper divisors (5856348800).

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

3360071680 is an equidigital number, since it uses as much as digits as its factorization.

3360071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11757 (or 11733 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 3360071680 is about 57966.1252802014. The cubic root of 3360071680 is about 1497.7851282087.

The spelling of 3360071680 in words is "three billion, three hundred sixty million, seventy-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2240 2560 3584 4096 4480 5120 7168 8192 8960 10240 11719 14336 17920 20480 23438 28672 35840 40960 46876 57344 58595 71680 82033 93752 117190 143360 164066 187504 234380 286720 328132 375008 410165 468760 656264 750016 820330 937520 1312528 1500032 1640660 1875040 2625056 3000064 3281320 3750080 5250112 6000128 6562640 7500160 10500224 12000256 13125280 15000320 21000448 24000512 26250560 30000640 42000896 48001024 52501120 60001280 84001792 96002048 105002240 120002560 168003584 210004480 240005120 336007168 420008960 480010240 672014336 840017920 1680035840 3360071680