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3838050304 = 218114
BaseRepresentation
bin1110010011000100…
…0000000000000000
3100220110222011020021
43210301000000000
530330020102204
61432502423224
7164052614014
oct34461000000
910813864207
103838050304
11169a530000
128b1431b14
134921ca6aa
14285a38544
15176e35154
hexe4c40000

3838050304 has 95 divisors (see below), whose sum is σ = 8443642135. Its totient is φ = 1744568320.

The previous prime is 3838050299. The next prime is 3838050341. The reversal of 3838050304 is 4030508383.

The square root of 3838050304 is 61952.

It is a perfect power (a square), and thus also a powerful number.

It is an ABA number since it can be written as A⋅BA, here for A=4, B=176.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3838050304.

It is an unprimeable number.

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 4 ways as a sum of consecutive naturals, for example, 348913659 + ... + 348913669.

Almost surely, 23838050304 is an apocalyptic number.

3838050304 is the 61952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3838050304

3838050304 is an abundant number, since it is smaller than the sum of its proper divisors (4605591831).

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

3838050304 is an frugal number, since it uses more digits than its factorization.

3838050304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 13 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The cubic root of 3838050304 is about 1565.6819837608.

Adding to 3838050304 its reverse (4030508383), we get a palindrome (7868558687).

The spelling of 3838050304 in words is "three billion, eight hundred thirty-eight million, fifty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1331 1408 1936 2048 2662 2816 3872 4096 5324 5632 7744 8192 10648 11264 14641 15488 16384 21296 22528 29282 30976 32768 42592 45056 58564 61952 65536 85184 90112 117128 123904 131072 170368 180224 234256 247808 262144 340736 360448 468512 495616 681472 720896 937024 991232 1362944 1441792 1874048 1982464 2725888 2883584 3748096 3964928 5451776 7496192 7929856 10903552 14992384 15859712 21807104 29984768 31719424 43614208 59969536 87228416 119939072 174456832 239878144 348913664 479756288 959512576 1919025152 3838050304