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3542440 = 235118397
BaseRepresentation
bin1101100000110110101000
320122222022111
431200312220
51401324230
6203532104
742052546
oct15406650
96588274
103542440
111aaa540
12122a034
13970525
14682d96
1549e92a
hex360da8

3542440 has 64 divisors (see below), whose sum is σ = 8890560. Its totient is φ = 1259520.

The previous prime is 3542423. The next prime is 3542447. The reversal of 3542440 is 442453.

It is a happy number.

3542440 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 3×35424403 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 3 + 59 + 43 + 219 + 47 + 410 + 0 .

It is not an unprimeable number, because it can be changed into a prime (3542447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36472 + ... + 36568.

It is an arithmetic number, because the mean of its divisors is an integer number (138915).

Almost surely, 23542440 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 3542440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445280).

3542440 is an abundant number, since it is smaller than the sum of its proper divisors (5348120).

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

3542440 is a wasteful number, since it uses less digits than its factorization.

3542440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 3542440 is about 1882.1370832115. The cubic root of 3542440 is about 152.4406649038.

Adding to 3542440 its reverse (442453), we get a palindrome (3984893).

The spelling of 3542440 in words is "three million, five hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 83 88 97 110 166 194 220 332 388 415 440 485 664 776 830 913 970 1067 1660 1826 1940 2134 3320 3652 3880 4268 4565 5335 7304 8051 8536 9130 10670 16102 18260 21340 32204 36520 40255 42680 64408 80510 88561 161020 177122 322040 354244 442805 708488 885610 1771220 3542440