Search a number
-
+
10353430032 = 24311171153457
BaseRepresentation
bin10011010010001110…
…01100111000010000
3222201112210201222120
421221013030320100
5132200434230112
64431205534240
7514365463131
oct115107147020
928645721876
1010353430032
114433272250
12200b414380
13c8cca497a
14703083c88
15408e22e8c
hex2691cce10

10353430032 has 80 divisors (see below), whose sum is σ = 30894219072. Its totient is φ = 2952847360.

The previous prime is 10353430019. The next prime is 10353430037. The reversal of 10353430032 is 23003435301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10353429984 and 10353430011.

It is not an unprimeable number, because it can be changed into a prime (10353430037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567753 + ... + 585704.

Almost surely, 210353430032 is an apocalyptic number.

10353430032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10353430032 is an abundant number, since it is smaller than the sum of its proper divisors (20540789040).

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

10353430032 is a wasteful number, since it uses less digits than its factorization.

10353430032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153496 (or 1153490 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

Adding to 10353430032 its reverse (23003435301), we get a palindrome (33356865333).

The spelling of 10353430032 in words is "ten billion, three hundred fifty-three million, four hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2992 4488 8976 1153457 2306914 3460371 4613828 6920742 9227656 12688027 13841484 18455312 19608769 25376054 27682968 38064081 39217538 50752108 55365936 58826307 76128162 78435076 101504216 117652614 152256324 156870152 203008432 215696459 235305228 304512648 313740304 431392918 470610456 609025296 647089377 862785836 941220912 1294178754 1725571672 2588357508 3451143344 5176715016 10353430032