Search a number
-
+
3432240 = 243357227
BaseRepresentation
bin1101000101111100110000
320110101011000
431011330300
51334312430
6201322000
741113350
oct15057460
96411130
103432240
111a34769
121196300
13932316
14654b60
1547be60
hex345f30

3432240 has 160 divisors (see below), whose sum is σ = 13570560. Its totient is φ = 781056.

The previous prime is 3432229. The next prime is 3432251. The reversal of 3432240 is 422343.

3432240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3432229) and next prime (3432251).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 15007 + ... + 15233.

It is an arithmetic number, because the mean of its divisors is an integer number (84816).

Almost surely, 23432240 is an apocalyptic number.

3432240 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 3432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785280).

3432240 is an abundant number, since it is smaller than the sum of its proper divisors (10138320).

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

3432240 is a wasteful number, since it uses less digits than its factorization.

3432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3432240 is about 1852.6305622007. The cubic root of 3432240 is about 150.8432506393.

Adding to 3432240 its reverse (422343), we get a palindrome (3854583).

The spelling of 3432240 in words is "three million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 227 240 252 270 280 315 336 360 378 420 432 454 504 540 560 630 681 720 756 840 908 945 1008 1080 1135 1260 1362 1512 1589 1680 1816 1890 2043 2160 2270 2520 2724 3024 3178 3405 3632 3780 4086 4540 4767 5040 5448 6129 6356 6810 7560 7945 8172 9080 9534 10215 10896 12258 12712 13620 14301 15120 15890 16344 18160 19068 20430 23835 24516 25424 27240 28602 30645 31780 32688 38136 40860 42903 47670 49032 54480 57204 61290 63560 71505 76272 81720 85806 95340 98064 114408 122580 127120 143010 163440 171612 190680 214515 228816 245160 286020 343224 381360 429030 490320 572040 686448 858060 1144080 1716120 3432240