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3423240 = 2332537257
BaseRepresentation
bin1101000011110000001000
320102220210200
431003300020
51334020430
6201212200
741045202
oct15036010
96386720
103423240
111a28a27
121191060
1392b1b2
14651772
15479460
hex343c08

3423240 has 96 divisors (see below), whose sum is σ = 11470680. Its totient is φ = 884736.

The previous prime is 3423229. The next prime is 3423263. The reversal of 3423240 is 423243.

3423240 is a `hidden beast` number, since 3 + 423 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3392964 + 30276 = 1842^2 + 174^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13192 + ... + 13448.

Almost surely, 23423240 is an apocalyptic number.

3423240 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 3423240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5735340).

3423240 is an abundant number, since it is smaller than the sum of its proper divisors (8047440).

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

3423240 is a wasteful number, since it uses less digits than its factorization.

3423240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 304 counting only the distinct ones).

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

The square root of 3423240 is about 1850.1999891904. The cubic root of 3423240 is about 150.7112884602.

Adding to 3423240 its reverse (423243), we get a palindrome (3846483).

It can be divided in two parts, 3423 and 240, that added together give a palindrome (3663).

The spelling of 3423240 in words is "three million, four hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 257 296 333 360 370 444 514 555 666 740 771 888 1028 1110 1285 1332 1480 1542 1665 2056 2220 2313 2570 2664 3084 3330 3855 4440 4626 5140 6168 6660 7710 9252 9509 10280 11565 13320 15420 18504 19018 23130 28527 30840 38036 46260 47545 57054 76072 85581 92520 95090 114108 142635 171162 190180 228216 285270 342324 380360 427905 570540 684648 855810 1141080 1711620 3423240