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3395520 = 26345131
BaseRepresentation
bin1100111100111111000000
320101111210000
430330333000
51332124040
6200440000
740601322
oct14747700
96344700
103395520
111a0a117
121179000
1391b6ab
14645612
15471130
hex33cfc0

3395520 has 140 divisors (see below), whose sum is σ = 12170664. Its totient is φ = 898560.

The previous prime is 3395503. The next prime is 3395521. The reversal of 3395520 is 255933.

3395520 is digitally balanced in base 5, 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 a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3395521) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25855 + ... + 25985.

Almost surely, 23395520 is an apocalyptic number.

3395520 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 3395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6085332).

3395520 is an abundant number, since it is smaller than the sum of its proper divisors (8775144).

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

3395520 is a wasteful number, since it uses less digits than its factorization.

3395520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 3395520 is about 1842.6936804580. The cubic root of 3395520 is about 150.3033859660.

The spelling of 3395520 in words is "three million, three hundred ninety-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 131 135 144 160 162 180 192 216 240 262 270 288 320 324 360 393 405 432 480 524 540 576 648 655 720 786 810 864 960 1048 1080 1179 1296 1310 1440 1572 1620 1728 1965 2096 2160 2358 2592 2620 2880 3144 3240 3537 3930 4192 4320 4716 5184 5240 5895 6288 6480 7074 7860 8384 8640 9432 10480 10611 11790 12576 12960 14148 15720 17685 18864 20960 21222 23580 25152 25920 28296 31440 35370 37728 41920 42444 47160 53055 56592 62880 70740 75456 84888 94320 106110 113184 125760 141480 169776 188640 212220 226368 282960 339552 377280 424440 565920 679104 848880 1131840 1697760 3395520