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3345440 = 255729103
BaseRepresentation
bin1100110000110000100000
320021222002012
430300300200
51324023230
6155412052
740302320
oct14606040
96258065
103345440
11198552a
121154028
13901967
14631280
15461395
hex330c20

3345440 has 96 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 1096704.

The previous prime is 3345439. The next prime is 3345451. The reversal of 3345440 is 445433.

It is a happy number.

It is a super-2 number, since 2×33454402 = 22383937587200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32429 + ... + 32531.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

Almost surely, 23345440 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 3345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440).

3345440 is an abundant number, since it is smaller than the sum of its proper divisors (6089440).

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

3345440 is a wasteful number, since it uses less digits than its factorization.

3345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 3345440 is about 1829.0544005032. The cubic root of 3345440 is about 149.5607892890.

The spelling of 3345440 in words is "three million, three hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 70 80 103 112 116 140 145 160 203 206 224 232 280 290 406 412 464 515 560 580 721 812 824 928 1015 1030 1120 1160 1442 1624 1648 2030 2060 2320 2884 2987 3248 3296 3605 4060 4120 4640 5768 5974 6496 7210 8120 8240 11536 11948 14420 14935 16240 16480 20909 23072 23896 28840 29870 32480 41818 47792 57680 59740 83636 95584 104545 115360 119480 167272 209090 238960 334544 418180 477920 669088 836360 1672720 3345440