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30553440 = 2535531201
BaseRepresentation
bin111010010001…
…1010101100000
32010111021102220
41310203111200
530310202230
63010511040
7520462041
oct164432540
963437386
1030553440
1116279285
12a295480
136439b78
1440b48c8
152a37d10
hex1d23560

30553440 has 96 divisors (see below), whose sum is σ = 98140896. Its totient is φ = 7987200.

The previous prime is 30553427. The next prime is 30553441. The reversal of 30553440 is 4435503.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30553440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30553441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24840 + ... + 26040.

It is an arithmetic number, because the mean of its divisors is an integer number (1022301).

Almost surely, 230553440 is an apocalyptic number.

30553440 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 30553440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49070448).

30553440 is an abundant number, since it is smaller than the sum of its proper divisors (67587456).

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

30553440 is a wasteful number, since it uses less digits than its factorization.

30553440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 30553440 is about 5527.5166214133. The cubic root of 30553440 is about 312.6223606163.

Adding to 30553440 its reverse (4435503), we get a palindrome (34988943).

The spelling of 30553440 in words is "thirty million, five hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 318 424 480 530 636 795 848 1060 1201 1272 1590 1696 2120 2402 2544 3180 3603 4240 4804 5088 6005 6360 7206 8480 9608 12010 12720 14412 18015 19216 24020 25440 28824 36030 38432 48040 57648 63653 72060 96080 115296 127306 144120 190959 192160 254612 288240 318265 381918 509224 576480 636530 763836 954795 1018448 1273060 1527672 1909590 2036896 2546120 3055344 3819180 5092240 6110688 7638360 10184480 15276720 30553440