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424212320 = 2557378761
BaseRepresentation
bin11001010010001…
…111011101100000
31002120020012220102
4121102033131200
51332044243240
6110032201532
713340513420
oct3122173540
91076205812
10424212320
111a8502aa4
12ba0992a8
1369b6b10c
14404a8480
1527397815
hex1948f760

424212320 has 48 divisors (see below), whose sum is σ = 1145376288. Its totient is φ = 145443840.

The previous prime is 424212317. The next prime is 424212323. The reversal of 424212320 is 23212424.

It is an interprime number because it is at equal distance from previous prime (424212317) and next prime (424212323).

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

It is a junction number, because it is equal to n+sod(n) for n = 424212292 and 424212301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424212323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188261 + ... + 190500.

It is an arithmetic number, because the mean of its divisors is an integer number (23862006).

Almost surely, 2424212320 is an apocalyptic number.

424212320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424212320 is an abundant number, since it is smaller than the sum of its proper divisors (721163968).

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

424212320 is a wasteful number, since it uses less digits than its factorization.

424212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378783 (or 378775 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 424212320 is about 20596.4152220720. The cubic root of 424212320 is about 751.3825284394.

Adding to 424212320 its reverse (23212424), we get a palindrome (447424744).

The spelling of 424212320 in words is "four hundred twenty-four million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 378761 757522 1515044 1893805 2651327 3030088 3787610 5302654 6060176 7575220 10605308 12120352 13256635 15150440 21210616 26513270 30300880 42421232 53026540 60601760 84842464 106053080 212106160 424212320