Search a number
-
+
3344535080 = 235379192459
BaseRepresentation
bin1100011101011001…
…1000111000101000
322122002022222121122
43013112120320220
523322200110310
61311512554412
7145611036065
oct30726307050
98562288548
103344535080
1114669a2787
127940b2a08
13413ba6153
1423a28dc6c
1514894d555
hexc7598e28

3344535080 has 64 divisors (see below), whose sum is σ = 7740144000. Its totient is φ = 1299711744.

The previous prime is 3344535079. The next prime is 3344535083. The reversal of 3344535080 is 805354433.

It is a super-2 number, since 2×33445350802 = 22371829802701212800, 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 3344535080.

It is not an unprimeable number, because it can be changed into a prime (3344535083) 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, 1358891 + ... + 1361349.

It is an arithmetic number, because the mean of its divisors is an integer number (120939750).

Almost surely, 23344535080 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 3344535080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870072000).

3344535080 is an abundant number, since it is smaller than the sum of its proper divisors (4395608920).

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

3344535080 is a wasteful number, since it uses less digits than its factorization.

3344535080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The square root of 3344535080 is about 57831.9555263351. The cubic root of 3344535080 is about 1495.4730299575.

The spelling of 3344535080 in words is "three billion, three hundred forty-four million, five hundred thirty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 919 1480 1838 2459 3676 4595 4918 7352 9190 9836 12295 18380 19672 24590 34003 36760 49180 68006 90983 98360 136012 170015 181966 272024 340030 363932 454915 680060 727864 909830 1360120 1819660 2259821 3639320 4519642 9039284 11299105 18078568 22598210 45196420 83613377 90392840 167226754 334453508 418066885 668907016 836133770 1672267540 3344535080