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3424420032 = 263112147401
BaseRepresentation
bin1100110000011100…
…1000000011000000
322211122122120011120
43030013020003000
524003122420112
61323445112240
7150601042605
oct31407100300
98748576146
103424420032
1114a7aa5500
127b69b8680
134275c6057
14246b266ac
1515097ce8c
hexcc1c80c0

3424420032 has 84 divisors (see below), whose sum is σ = 9959068728. Its totient is φ = 1037696000.

The previous prime is 3424420019. The next prime is 3424420057. The reversal of 3424420032 is 2300244243.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3424419984 and 3424420011.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50469 + ... + 96932.

It is an arithmetic number, because the mean of its divisors is an integer number (118560342).

Almost surely, 23424420032 is an apocalyptic number.

3424420032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3424420032 is an abundant number, since it is smaller than the sum of its proper divisors (6534648696).

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

3424420032 is a wasteful number, since it uses less digits than its factorization.

3424420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147438 (or 147417 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3424420032 is about 58518.5443427979. The cubic root of 3424420032 is about 1507.2860380201.

Adding to 3424420032 its reverse (2300244243), we get a palindrome (5724664275).

The spelling of 3424420032 in words is "three billion, four hundred twenty-four million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1452 1936 2112 2904 3872 5808 7744 11616 23232 147401 294802 442203 589604 884406 1179208 1621411 1768812 2358416 3242822 3537624 4716832 4864233 6485644 7075248 9433664 9728466 12971288 14150496 17835521 19456932 25942576 28300992 35671042 38913864 51885152 53506563 71342084 77827728 103770304 107013126 142684168 155655456 214026252 285368336 311310912 428052504 570736672 856105008 1141473344 1712210016 3424420032