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3377340 = 2232529647
BaseRepresentation
bin1100111000100010111100
320100120211200
430320202330
51331033330
6200215500
740464321
oct14704274
96316750
103377340
1119a749a
12116a590
13913335
1463cb48
1546aa60
hex3388bc

3377340 has 72 divisors (see below), whose sum is σ = 10614240. Its totient is φ = 868224.

The previous prime is 3377321. The next prime is 3377347. The reversal of 3377340 is 437733.

3377340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33773402 = 22812850951200, which contains 22 as substring.

It is an Ulam number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3377347) 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 23 ways as a sum of consecutive naturals, for example, 4897 + ... + 5543.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 23377340 is an apocalyptic number.

3377340 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 3377340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307120).

3377340 is an abundant number, since it is smaller than the sum of its proper divisors (7236900).

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

3377340 is a wasteful number, since it uses less digits than its factorization.

3377340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 27.

The square root of 3377340 is about 1837.7540640684. The cubic root of 3377340 is about 150.0346586579.

The spelling of 3377340 in words is "three million, three hundred seventy-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 647 870 1044 1294 1305 1740 1941 2588 2610 3235 3882 5220 5823 6470 7764 9705 11646 12940 18763 19410 23292 29115 37526 38820 56289 58230 75052 93815 112578 116460 168867 187630 225156 281445 337734 375260 562890 675468 844335 1125780 1688670 3377340