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2744196 = 2237213359
BaseRepresentation
bin1010011101111110000100
312011102022220
422131332010
51200303241
6134452340
732216400
oct12357604
95142286
102744196
111604834
12b040b0
137510b0
14516100
15393166
hex29df84

2744196 has 72 divisors (see below), whose sum is σ = 8043840. Its totient is φ = 721728.

The previous prime is 2744129. The next prime is 2744197. The reversal of 2744196 is 6914472.

It is a happy number.

2744196 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×27441962 = 15061223372832, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

2744196 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (2744197) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7465 + ... + 7823.

It is an arithmetic number, because the mean of its divisors is an integer number (111720).

22744196 is an apocalyptic number.

2744196 is a gapful number since it is divisible by the number (26) 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 2744196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021920).

2744196 is an abundant number, since it is smaller than the sum of its proper divisors (5299644).

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

2744196 is a wasteful number, since it uses less digits than its factorization.

2744196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 384 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 2744196 is about 1656.5614990093. The cubic root of 2744196 is about 140.0033332540.

It can be divided in two parts, 2744 and 196, that multiplied together give a 5-th power (537824 = 145).

The spelling of 2744196 in words is "two million, seven hundred forty-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 359 364 546 588 637 718 1077 1092 1274 1436 1911 2154 2513 2548 3822 4308 4667 5026 7539 7644 9334 10052 14001 15078 17591 18668 28002 30156 32669 35182 52773 56004 65338 70364 98007 105546 130676 196014 211092 228683 392028 457366 686049 914732 1372098 2744196