Search a number
-
+
1430320032 = 25344491229
BaseRepresentation
bin101010101000000…
…1111001110100000
310200200101210020000
41111100033032200
510412130220112
6353532420000
750305343151
oct12520171640
93620353200
101430320032
11674418679
1233b017600
1319a43631b
14d7d65928
15858837dc
hex5540f3a0

1430320032 has 120 divisors (see below), whose sum is σ = 4219330500. Its totient is φ = 475324416.

The previous prime is 1430320013. The next prime is 1430320033. The reversal of 1430320032 is 2300230341.

1430320032 is a `hidden beast` number, since 1 + 430 + 3 + 200 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1221921936 + 208398096 = 34956^2 + 14436^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1430319987 and 1430320014.

It is not an unprimeable number, because it can be changed into a prime (1430320033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1163194 + ... + 1164422.

Almost surely, 21430320032 is an apocalyptic number.

1430320032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1430320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109665250).

1430320032 is an abundant number, since it is smaller than the sum of its proper divisors (2789010468).

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

1430320032 is a wasteful number, since it uses less digits than its factorization.

1430320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1430320032 is about 37819.5720758445. The cubic root of 1430320032 is about 1126.7072106289.

Adding to 1430320032 its reverse (2300230341), we get a palindrome (3730550373).

The spelling of 1430320032 in words is "one billion, four hundred thirty million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 449 648 864 898 1229 1296 1347 1796 2458 2592 2694 3592 3687 4041 4916 5388 7184 7374 8082 9832 10776 11061 12123 14368 14748 16164 19664 21552 22122 24246 29496 32328 33183 36369 39328 43104 44244 48492 58992 64656 66366 72738 88488 96984 99549 117984 129312 132732 145476 176976 193968 199098 265464 290952 353952 387936 398196 530928 551821 581904 796392 1061856 1103642 1163808 1592784 1655463 2207284 3185568 3310926 4414568 4966389 6621852 8829136 9932778 13243704 14899167 17658272 19865556 26487408 29798334 39731112 44697501 52974816 59596668 79462224 89395002 119193336 158924448 178790004 238386672 357580008 476773344 715160016 1430320032