Search a number
-
+
424442640 = 243510911621
BaseRepresentation
bin11001010011000…
…111101100010000
31002120122220211210
4121103013230100
51332124131030
6110041140120
713342463046
oct3123075420
91076586753
10424442640
111a8650046
12ba18a640
1369c1bbbb
1440528396
15273e0bb0
hex194c7b10

424442640 has 80 divisors (see below), whose sum is σ = 1317790656. Its totient is φ = 113011200.

The previous prime is 424442633. The next prime is 424442657. The reversal of 424442640 is 46244424.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 424442598 and 424442607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261030 + ... + 262650.

Almost surely, 2424442640 is an apocalyptic number.

424442640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424442640 is an abundant number, since it is smaller than the sum of its proper divisors (893348016).

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

424442640 is a wasteful number, since it uses less digits than its factorization.

424442640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The square root of 424442640 is about 20602.0057275985. The cubic root of 424442640 is about 751.5184879620.

The spelling of 424442640 in words is "four hundred twenty-four million, four hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1091 1621 2182 3242 3273 4364 4863 5455 6484 6546 8105 8728 9726 10910 12968 13092 16210 16365 17456 19452 21820 24315 25936 26184 32420 32730 38904 43640 48630 52368 64840 65460 77808 87280 97260 129680 130920 194520 261840 389040 1768511 3537022 5305533 7074044 8842555 10611066 14148088 17685110 21222132 26527665 28296176 35370220 42444264 53055330 70740440 84888528 106110660 141480880 212221320 424442640