Search a number
-
+
1714318080 = 28351726261
BaseRepresentation
bin110011000101110…
…0110101100000000
311102110210101022020
41212023212230000
512002331134310
6442035441440
760324314616
oct14613465400
94373711266
101714318080
117aa762602
123ba156280
132142206c7
141239716b6
15a0781170
hex662e6b00

1714318080 has 144 divisors (see below), whose sum is σ = 5797389024. Its totient is φ = 430243840.

The previous prime is 1714318049. The next prime is 1714318103. The reversal of 1714318080 is 808134171.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 52150 + ... + 78410.

It is an arithmetic number, because the mean of its divisors is an integer number (40259646).

Almost surely, 21714318080 is an apocalyptic number.

1714318080 is a gapful number since it is divisible by the number (10) 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 1714318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898694512).

1714318080 is an abundant number, since it is smaller than the sum of its proper divisors (4083070944).

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

1714318080 is a wasteful number, since it uses less digits than its factorization.

1714318080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26302 (or 26288 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 1714318080 is about 41404.3244118293. The cubic root of 1714318080 is about 1196.8244930978.

The spelling of 1714318080 in words is "one billion, seven hundred fourteen million, three hundred eighteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 544 640 680 768 816 960 1020 1088 1280 1360 1632 1920 2040 2176 2720 3264 3840 4080 4352 5440 6528 8160 10880 13056 16320 21760 26261 32640 52522 65280 78783 105044 131305 157566 210088 262610 315132 393915 420176 446437 525220 630264 787830 840352 892874 1050440 1260528 1339311 1575660 1680704 1785748 2100880 2232185 2521056 2678622 3151320 3361408 3571496 4201760 4464370 5042112 5357244 6302640 6696555 6722816 7142992 8403520 8928740 10084224 10714488 12605280 13393110 14285984 16807040 17857480 20168448 21428976 25210560 26786220 28571968 33614080 35714960 42857952 50421120 53572440 57143936 71429920 85715904 100842240 107144880 114287872 142859840 171431808 214289760 285719680 342863616 428579520 571439360 857159040 1714318080