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3394440 = 233357449
BaseRepresentation
bin1100111100101110001000
320101110022000
430330232020
51332110230
6200431000
740565220
oct14745610
96343260
103394440
111a09325
121178460
1391b05a
14645080
15470b60
hex33cb88

3394440 has 128 divisors (see below), whose sum is σ = 12960000. Its totient is φ = 774144.

The previous prime is 3394429. The next prime is 3394453. The reversal of 3394440 is 444933.

3394440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 7336 + ... + 7784.

It is an arithmetic number, because the mean of its divisors is an integer number (101250).

Almost surely, 23394440 is an apocalyptic number.

3394440 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 3394440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480000).

3394440 is an abundant number, since it is smaller than the sum of its proper divisors (9565560).

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

3394440 is a wasteful number, since it uses less digits than its factorization.

3394440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3394440 is about 1842.4006079026. The cubic root of 3394440 is about 150.2874488027.

The spelling of 3394440 in words is "three million, three hundred ninety-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 449 504 540 630 756 840 898 945 1080 1260 1347 1512 1796 1890 2245 2520 2694 3143 3592 3780 4041 4490 5388 6286 6735 7560 8082 8980 9429 10776 12123 12572 13470 15715 16164 17960 18858 20205 24246 25144 26940 28287 31430 32328 37716 40410 47145 48492 53880 56574 60615 62860 75432 80820 84861 94290 96984 113148 121230 125720 141435 161640 169722 188580 226296 242460 282870 339444 377160 424305 484920 565740 678888 848610 1131480 1697220 3394440