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3348940 = 2257191259
BaseRepresentation
bin1100110001100111001100
320022010212211
430301213030
51324131230
6155440204
740315450
oct14614714
96263784
103348940
111988121
121156064
1390342a
14632660
1546242a
hex3319cc

3348940 has 48 divisors (see below), whose sum is σ = 8467200. Its totient is φ = 1086912.

The previous prime is 3348937. The next prime is 3348953. The reversal of 3348940 is 498433.

3348940 = 1242 + 1252 + ... + 2282.

3348940 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 2×33489402 = 22430798247200, which contains 22 as substring.

It is a zygodrome in base 2.

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, 2031 + ... + 3289.

It is an arithmetic number, because the mean of its divisors is an integer number (176400).

Almost surely, 23348940 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 3348940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233600).

3348940 is an abundant number, since it is smaller than the sum of its proper divisors (5118260).

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

3348940 is a wasteful number, since it uses less digits than its factorization.

3348940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 3348940 is about 1830.0109289291. The cubic root of 3348940 is about 149.6129279533.

The spelling of 3348940 in words is "three million, three hundred forty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1259 1330 2518 2660 5036 6295 8813 12590 17626 23921 25180 35252 44065 47842 88130 95684 119605 167447 176260 239210 334894 478420 669788 837235 1674470 3348940