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1714200264 = 2332713924469
BaseRepresentation
bin110011000101100…
…1001111011001000
311102110120101200200
41212023021323020
512002313402024
6442033132200
760323314260
oct14613117310
94373511620
101714200264
117aa692037
123ba0ba060
132141abbaa
141239407a0
15a075b2c9
hex662c9ec8

1714200264 has 96 divisors (see below), whose sum is σ = 5344248000. Its totient is φ = 486228096.

The previous prime is 1714200259. The next prime is 1714200347. The reversal of 1714200264 is 4620024171.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57822 + ... + 82290.

It is an arithmetic number, because the mean of its divisors is an integer number (55669250).

Almost surely, 21714200264 is an apocalyptic number.

1714200264 is a gapful number since it is divisible by the number (14) 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 1714200264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672124000).

1714200264 is an abundant number, since it is smaller than the sum of its proper divisors (3630047736).

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

1714200264 is a wasteful number, since it uses less digits than its factorization.

1714200264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24627 (or 24620 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1714200264 is about 41402.9016374457. The cubic root of 1714200264 is about 1196.7970753340.

The spelling of 1714200264 in words is "one billion, seven hundred fourteen million, two hundred thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 139 168 252 278 417 504 556 834 973 1112 1251 1668 1946 2502 2919 3336 3892 5004 5838 7784 8757 10008 11676 17514 23352 24469 35028 48938 70056 73407 97876 146814 171283 195752 220221 293628 342566 440442 513849 587256 685132 880884 1027698 1370264 1541547 1761768 2055396 3083094 3401191 4110792 6166188 6802382 10203573 12332376 13604764 20407146 23808337 27209528 30610719 40814292 47616674 61221438 71425011 81628584 95233348 122442876 142850022 190466696 214275033 244885752 285700044 428550066 571400088 857100132 1714200264