Search a number
-
+
3450240 = 27325599
BaseRepresentation
bin1101001010010110000000
320111021211200
431022112000
51340401430
6201541200
741220003
oct15122600
96437750
103450240
111a47242
1211a4800
1393a581
1465b53a
15482460
hex34a580

3450240 has 96 divisors (see below), whose sum is σ = 11934000. Its totient is φ = 918528.

The previous prime is 3450233. The next prime is 3450241. The reversal of 3450240 is 420543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3450241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5461 + ... + 6059.

Almost surely, 23450240 is an apocalyptic number.

3450240 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 3450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5967000).

3450240 is an abundant number, since it is smaller than the sum of its proper divisors (8483760).

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

3450240 is a wasteful number, since it uses less digits than its factorization.

3450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3450240 is about 1857.4821668054. The cubic root of 3450240 is about 151.1064845437.

Adding to 3450240 its reverse (420543), we get a palindrome (3870783).

The spelling of 3450240 in words is "three million, four hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 599 640 720 960 1152 1198 1440 1797 1920 2396 2880 2995 3594 4792 5391 5760 5990 7188 8985 9584 10782 11980 14376 17970 19168 21564 23960 26955 28752 35940 38336 43128 47920 53910 57504 71880 76672 86256 95840 107820 115008 143760 172512 191680 215640 230016 287520 345024 383360 431280 575040 690048 862560 1150080 1725120 3450240