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3542240 = 255132131
BaseRepresentation
bin1101100000110011100000
320122222001002
431200303200
51401322430
6203531132
742052142
oct15406340
96588032
103542240
111aaa379
121229aa8
13970400
14682c92
1549e845
hex360ce0

3542240 has 72 divisors (see below), whose sum is σ = 9130968. Its totient is φ = 1297920.

The previous prime is 3542233. The next prime is 3542243. The reversal of 3542240 is 422453.

3542240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×35422403 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3542243) 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, 26975 + ... + 27105.

It is an arithmetic number, because the mean of its divisors is an integer number (126819).

Almost surely, 23542240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4565484).

3542240 is an abundant number, since it is smaller than the sum of its proper divisors (5588728).

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

3542240 is a wasteful number, since it uses less digits than its factorization.

3542240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 3542240 is about 1882.0839513688. The cubic root of 3542240 is about 152.4377960049.

Adding to 3542240 its reverse (422453), we get a palindrome (3964693).

The spelling of 3542240 in words is "three million, five hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 131 160 169 208 260 262 338 416 520 524 655 676 845 1040 1048 1310 1352 1690 1703 2080 2096 2620 2704 3380 3406 4192 5240 5408 6760 6812 8515 10480 13520 13624 17030 20960 22139 27040 27248 34060 44278 54496 68120 88556 110695 136240 177112 221390 272480 354224 442780 708448 885560 1771120 3542240