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3714000 = 24353619
BaseRepresentation
bin1110001010101111010000
320222200122120
432022233100
51422322000
6211334240
743365663
oct16125720
96880576
103714000
112107424
1212b1380
13a00644
146c96da
154d56a0
hex38abd0

3714000 has 80 divisors (see below), whose sum is σ = 11993280. Its totient is φ = 988800.

The previous prime is 3713999. The next prime is 3714013. The reversal of 3714000 is 4173.

3714000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5691 + ... + 6309.

It is an arithmetic number, because the mean of its divisors is an integer number (149916).

Almost surely, 23714000 is an apocalyptic number.

3714000 is a gapful number since it is divisible by the number (30) 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 3714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5996640).

3714000 is an abundant number, since it is smaller than the sum of its proper divisors (8279280).

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

3714000 is a wasteful number, since it uses less digits than its factorization.

3714000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 3714000 is about 1927.1740969617. The cubic root of 3714000 is about 154.8628686542.

Adding to 3714000 its reverse (4173), we get a palindrome (3718173).

It can be divided in two parts, 371 and 4000, that added together give a triangular number (4371 = T93).

The spelling of 3714000 in words is "three million, seven hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 619 750 1000 1200 1238 1500 1857 2000 2476 3000 3095 3714 4952 6000 6190 7428 9285 9904 12380 14856 15475 18570 24760 29712 30950 37140 46425 49520 61900 74280 77375 92850 123800 148560 154750 185700 232125 247600 309500 371400 464250 619000 742800 928500 1238000 1857000 3714000