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4342480 = 2451731103
BaseRepresentation
bin10000100100001011010000
322011121202121
4100210023100
52102424410
6233024024
751624202
oct20441320
98147677
104342480
1124a662a
121555014
13b9071c
14810772
155ab9da
hex4242d0

4342480 has 80 divisors (see below), whose sum is σ = 11142144. Its totient is φ = 1566720.

The previous prime is 4342453. The next prime is 4342487. The reversal of 4342480 is 842434.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4342487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42109 + ... + 42211.

Almost surely, 24342480 is an apocalyptic number.

4342480 is a gapful number since it is divisible by the number (40) 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 4342480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571072).

4342480 is an abundant number, since it is smaller than the sum of its proper divisors (6799664).

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

4342480 is a wasteful number, since it uses less digits than its factorization.

4342480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 4342480 is about 2083.8617996403. The cubic root of 4342480 is about 163.1470688912.

The spelling of 4342480 in words is "four million, three hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 103 124 136 155 170 206 248 272 310 340 412 496 515 527 620 680 824 1030 1054 1240 1360 1648 1751 2060 2108 2480 2635 3193 3502 4120 4216 5270 6386 7004 8240 8432 8755 10540 12772 14008 15965 17510 21080 25544 28016 31930 35020 42160 51088 54281 63860 70040 108562 127720 140080 217124 255440 271405 434248 542810 868496 1085620 2171240 4342480