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2714320 = 245737131
BaseRepresentation
bin1010010110101011010000
312002220100101
422112223100
51143324240
6134102144
732033320
oct12265320
95086311
102714320
111594344
12aaa954
1374060b
14509280
1538939a
hex296ad0

2714320 has 80 divisors (see below), whose sum is σ = 7463808. Its totient is φ = 898560.

The previous prime is 2714311. The next prime is 2714353. The reversal of 2714320 is 234172.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20655 + ... + 20785.

22714320 is an apocalyptic number.

2714320 is a gapful number since it is divisible by the number (20) 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 2714320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731904).

2714320 is an abundant number, since it is smaller than the sum of its proper divisors (4749488).

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

2714320 is a wasteful number, since it uses less digits than its factorization.

2714320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 2714320 is about 1647.5193473826. The cubic root of 2714320 is about 139.4934071900.

Adding to 2714320 its reverse (234172), we get a palindrome (2948492).

The spelling of 2714320 in words is "two million, seven hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 131 140 148 185 259 262 280 296 370 518 524 560 592 655 740 917 1036 1048 1295 1310 1480 1834 2072 2096 2590 2620 2960 3668 4144 4585 4847 5180 5240 7336 9170 9694 10360 10480 14672 18340 19388 20720 24235 33929 36680 38776 48470 67858 73360 77552 96940 135716 169645 193880 271432 339290 387760 542864 678580 1357160 2714320