Search a number
-
+
2714472 = 23345971
BaseRepresentation
bin1010010110101101101000
312002220120000
422112231220
51143330342
6134103000
732033625
oct12265550
95086500
102714472
111594472
12aaaa60
137406c7
1450934c
1538944c
hex296b68

2714472 has 80 divisors (see below), whose sum is σ = 7840800. Its totient is φ = 876960.

The previous prime is 2714449. The next prime is 2714507. The reversal of 2714472 is 2744172.

It is a happy number.

2714472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38197 + ... + 38267.

It is an arithmetic number, because the mean of its divisors is an integer number (98010).

22714472 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 2714472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920400).

2714472 is an abundant number, since it is smaller than the sum of its proper divisors (5126328).

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

2714472 is a wasteful number, since it uses less digits than its factorization.

2714472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its digits is 3136, while the sum is 27.

The square root of 2714472 is about 1647.5654766958. The cubic root of 2714472 is about 139.4960109855.

The spelling of 2714472 in words is "two million, seven hundred fourteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 71 72 81 108 118 142 162 177 213 216 236 284 324 354 426 472 531 568 639 648 708 852 1062 1278 1416 1593 1704 1917 2124 2556 3186 3834 4189 4248 4779 5112 5751 6372 7668 8378 9558 11502 12567 12744 15336 16756 19116 23004 25134 33512 37701 38232 46008 50268 75402 100536 113103 150804 226206 301608 339309 452412 678618 904824 1357236 2714472