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423854336 = 28173337
BaseRepresentation
bin11001010000111…
…000000100000000
31002112120000211202
4121100320010000
51332001314321
6110020400332
713334462633
oct3120700400
91075500752
10423854336
111a8289044
12b9b460a8
1369a741a9
1440413c1a
152732670b
hex19438100

423854336 has 72 divisors (see below), whose sum is σ = 901587960. Its totient is φ = 198868992.

The previous prime is 423854329. The next prime is 423854363. The reversal of 423854336 is 633458324.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 42823936 + 381030400 = 6544^2 + 19520^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 423854336.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1257560 + ... + 1257896.

It is an arithmetic number, because the mean of its divisors is an integer number (12522055).

Almost surely, 2423854336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423854336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450793980).

423854336 is an abundant number, since it is smaller than the sum of its proper divisors (477733624).

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

423854336 is an frugal number, since it uses more digits than its factorization.

423854336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 356 counting only the distinct ones).

The product of its digits is 207360, while the sum is 38.

The square root of 423854336 is about 20587.7229435409. The cubic root of 423854336 is about 751.1711102345.

The spelling of 423854336 in words is "four hundred twenty-three million, eight hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 337 544 578 674 1088 1156 1348 2176 2312 2696 4352 4624 4913 5392 5729 9248 9826 10784 11458 18496 19652 21568 22916 36992 39304 43136 45832 73984 78608 86272 91664 97393 157216 183328 194786 314432 366656 389572 628864 733312 779144 1257728 1466624 1558288 1655681 3116576 3311362 6233152 6622724 12466304 13245448 24932608 26490896 52981792 105963584 211927168 423854336