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1714998240 = 253254327697
BaseRepresentation
bin110011000111000…
…1100101111100000
311102112001221022100
41212032030233200
512003014420430
6442102210400
760333146604
oct14616145740
94375057270
101714998240
1180008761a
123ba423a00
132143cb177
14123aab504
15a0867960
hex6638cbe0

1714998240 has 144 divisors (see below), whose sum is σ = 5988750768. Its totient is φ = 446681088.

The previous prime is 1714998223. The next prime is 1714998251. The reversal of 1714998240 is 428994171.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 48072 + ... + 75768.

It is an arithmetic number, because the mean of its divisors is an integer number (41588547).

Almost surely, 21714998240 is an apocalyptic number.

1714998240 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 1714998240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994375384).

1714998240 is an abundant number, since it is smaller than the sum of its proper divisors (4273752528).

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

1714998240 is a wasteful number, since it uses less digits than its factorization.

1714998240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27761 (or 27750 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1714998240 is about 41412.5372320992. The cubic root of 1714998240 is about 1196.9827532099.

The spelling of 1714998240 in words is "one billion, seven hundred fourteen million, nine hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 43 45 48 60 72 80 86 90 96 120 129 144 160 172 180 215 240 258 288 344 360 387 430 480 516 645 688 720 774 860 1032 1290 1376 1440 1548 1720 1935 2064 2580 3096 3440 3870 4128 5160 6192 6880 7740 10320 12384 15480 20640 27697 30960 55394 61920 83091 110788 138485 166182 221576 249273 276970 332364 415455 443152 498546 553940 664728 830910 886304 997092 1107880 1190971 1246365 1329456 1661820 1994184 2215760 2381942 2492730 2658912 3323640 3572913 3988368 4431520 4763884 4985460 5954855 6647280 7145826 7976736 9527768 9970920 10718739 11909710 13294560 14291652 17864565 19055536 19941840 21437478 23819420 28583304 35729130 38111072 39883680 42874956 47638840 53593695 57166608 71458260 85749912 95277680 107187390 114333216 142916520 171499824 190555360 214374780 285833040 342999648 428749560 571666080 857499120 1714998240