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3371440 = 245173767
BaseRepresentation
bin1100110111000110110000
320100021202011
430313012300
51330341230
6200132304
740441162
oct14670660
96307664
103371440
1119a3016
121167094
13910747
1463a932
15468e2a
hex3371b0

3371440 has 80 divisors (see below), whose sum is σ = 8651232. Its totient is φ = 1216512.

The previous prime is 3371419. The next prime is 3371441. The reversal of 3371440 is 441733.

It is a happy number.

3371440 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 super-2 number, since 2×33714402 = 22733215347200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3371441) by changing a digit.

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, 50287 + ... + 50353.

Almost surely, 23371440 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 3371440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4325616).

3371440 is an abundant number, since it is smaller than the sum of its proper divisors (5279792).

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

3371440 is a wasteful number, since it uses less digits than its factorization.

3371440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 3371440 is about 1836.1481421715. The cubic root of 3371440 is about 149.9472407045.

The spelling of 3371440 in words is "three million, three hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 37 40 67 68 74 80 85 134 136 148 170 185 268 272 296 335 340 370 536 592 629 670 680 740 1072 1139 1258 1340 1360 1480 2278 2479 2516 2680 2960 3145 4556 4958 5032 5360 5695 6290 9112 9916 10064 11390 12395 12580 18224 19832 22780 24790 25160 39664 42143 45560 49580 50320 84286 91120 99160 168572 198320 210715 337144 421430 674288 842860 1685720 3371440