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3016534432 = 25532776421
BaseRepresentation
bin1011001111001100…
…1010100110100000
321210020010211022111
42303303022212200
522134213100212
61215154445104
7134516056012
oct26363124640
97706124274
103016534432
111308833a6a
12702293794
13390c53422
142088ac1b2
15129c5cea7
hexb3cca9a0

3016534432 has 48 divisors (see below), whose sum is σ = 6073645032. Its totient is φ = 1474237440.

The previous prime is 3016534429. The next prime is 3016534447. The reversal of 3016534432 is 2344356103.

It can be written as a sum of positive squares in 4 ways, for example, as 2131114896 + 885419536 = 46164^2 + 29756^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3016534394 and 3016534403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466582 + ... + 473002.

Almost surely, 23016534432 is an apocalyptic number.

3016534432 is a gapful number since it is divisible by the number (32) 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 3016534432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036822516).

3016534432 is an abundant number, since it is smaller than the sum of its proper divisors (3057110600).

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

3016534432 is a wasteful number, since it uses less digits than its factorization.

3016534432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6761 (or 6753 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 3016534432 is about 54922.9863718280. The cubic root of 3016534432 is about 1444.8943592825.

It can be divided in two parts, 301653 and 4432, that multiplied together give a square (1336926096 = 365642).

The spelling of 3016534432 in words is "three billion, sixteen million, five hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 53 106 212 277 424 554 848 1108 1696 2216 4432 6421 8864 12842 14681 25684 29362 51368 58724 102736 117448 205472 234896 340313 469792 680626 1361252 1778617 2722504 3557234 5445008 7114468 10890016 14228936 28457872 56915744 94266701 188533402 377066804 754133608 1508267216 3016534432