Search a number
-
+
3352374528 = 28315727803
BaseRepresentation
bin1100011111010001…
…0010110100000000
322122122002021022120
43013310102310000
523331201441103
61312353004240
7146034466446
oct30764226400
98578067276
103352374528
111470367668
12796853680
134156bc489
1423b330b96
1514949b253
hexc7d12d00

3352374528 has 72 divisors (see below), whose sum is σ = 8979357408. Its totient is φ = 1110300672.

The previous prime is 3352374511. The next prime is 3352374569. The reversal of 3352374528 is 8254732533.

It is a super-2 number, since 2×33523745282 = 22476829951966445568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3352374528.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 106675 + ... + 134477.

Almost surely, 23352374528 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 3352374528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4489678704).

3352374528 is an abundant number, since it is smaller than the sum of its proper divisors (5626982880).

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

3352374528 is a wasteful number, since it uses less digits than its factorization.

3352374528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27979 (or 27965 counting only the distinct ones).

The product of its digits is 604800, while the sum is 42.

The square root of 3352374528 is about 57899.6936779462. The cubic root of 3352374528 is about 1496.6405599475.

The spelling of 3352374528 in words is "three billion, three hundred fifty-two million, three hundred seventy-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 256 314 384 471 628 768 942 1256 1884 2512 3768 5024 7536 10048 15072 20096 27803 30144 40192 55606 60288 83409 111212 120576 166818 222424 333636 444848 667272 889696 1334544 1779392 2669088 3558784 4365071 5338176 7117568 8730142 10676352 13095213 17460284 21352704 26190426 34920568 52380852 69841136 104761704 139682272 209523408 279364544 419046816 558729088 838093632 1117458176 1676187264 3352374528