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4389379344 = 2432712913373
BaseRepresentation
bin1000001011010000…
…01001110100010000
3102022220101120111100
410011220021310100
532442140114334
62003315344400
7213526052220
oct40550116420
912286346440
104389379344
111952765739
12a25bb2100
1354c4b4aac
142d8d52080
151aa53bc99
hex105a09d10

4389379344 has 120 divisors (see below), whose sum is σ = 14054086592. Its totient is φ = 1252765440.

The previous prime is 4389379321. The next prime is 4389379369. The reversal of 4389379344 is 4439739834.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1299642 + ... + 1303014.

Almost surely, 24389379344 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 4389379344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7027043296).

4389379344 is an abundant number, since it is smaller than the sum of its proper divisors (9664707248).

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

4389379344 is a wasteful number, since it uses less digits than its factorization.

4389379344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4685 (or 4676 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The square root of 4389379344 is about 66252.3912323170. The cubic root of 4389379344 is about 1637.3230351192.

The spelling of 4389379344 in words is "four billion, three hundred eighty-nine million, three hundred seventy-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1291 2582 3373 3873 5164 6746 7746 9037 10119 10328 11619 13492 15492 18074 20238 20656 23238 23611 26984 27111 30357 30984 36148 40476 46476 47222 53968 54222 60714 61968 70833 72296 80952 81333 92952 94444 108444 121428 141666 144592 161904 162666 185904 188888 212499 216888 242856 283332 325332 377776 424998 433776 485712 566664 650664 849996 1133328 1301328 1699992 3399984 4354543 8709086 13063629 17418172 26127258 30481801 34836344 39190887 52254516 60963602 69672688 78381774 91445403 104509032 121927204 156763548 182890806 209018064 243854408 274336209 313527096 365781612 487708816 548672418 627054192 731563224 1097344836 1463126448 2194689672 4389379344