Search a number
-
+
398245373232 = 243710715117331
BaseRepresentation
bin1011100101110010100…
…01100010010100110000
31102001221101221002120020
411302321101202110300
523011101303420412
6502541300243440
740525614551040
oct5627121422460
91361841832506
10398245373232
11143993149333
12652236a0580
132b728c76755
14153bd13b720
15a55c85418c
hex5cb9462530

398245373232 has 160 divisors (see below), whose sum is σ = 1187707981824. Its totient is φ = 112631020800.

The previous prime is 398245373231. The next prime is 398245373263. The reversal of 398245373232 is 232373542893.

It is not an unprimeable number, because it can be changed into a prime (398245373231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54319807 + ... + 54327137.

Almost surely, 2398245373232 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 398245373232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593853990912).

398245373232 is an abundant number, since it is smaller than the sum of its proper divisors (789462608592).

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

398245373232 is a wasteful number, since it uses less digits than its factorization.

398245373232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8967 (or 8961 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 51.

The spelling of 398245373232 in words is "three hundred ninety-eight billion, two hundred forty-five million, three hundred seventy-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 107 112 168 214 321 336 428 642 749 856 1284 1498 1511 1712 2247 2568 2996 3022 4494 4533 5136 5992 6044 7331 8988 9066 10577 11984 12088 14662 17976 18132 21154 21993 24176 29324 31731 35952 36264 42308 43986 51317 58648 63462 72528 84616 87972 102634 117296 126924 153951 161677 169232 175944 205268 253848 307902 323354 351888 410536 485031 507696 615804 646708 784417 821072 970062 1131739 1231608 1293416 1568834 1940124 2263478 2353251 2463216 2586832 3137668 3395217 3880248 4526956 4706502 5490919 6275336 6790434 7760496 9053912 9413004 10981838 11077141 12550672 13580868 16472757 18107824 18826008 21963676 22154282 27161736 32945514 33231423 37652016 43927352 44308564 54323472 65891028 66462846 77539987 87854704 88617128 131782056 132925692 155079974 177234256 232619961 263564112 265851384 310159948 465239922 531702768 620319896 930479844 1185254087 1240639792 1860959688 2370508174 3555762261 3721919376 4741016348 7111524522 8296778609 9482032696 14223049044 16593557218 18964065392 24890335827 28446098088 33187114436 49780671654 56892196176 66374228872 99561343308 132748457744 199122686616 398245373232