Search a number
-
+
3373470368 = 25196782813
BaseRepresentation
bin1100100100010011…
…0001001010100000
322201002210001100222
43021010301022200
523402102022433
61314425102212
7146412011402
oct31104611240
98632701328
103373470368
111481266244
127a1927968
13419b97618
14240062b72
1514b266b98
hexc91312a0

3373470368 has 48 divisors (see below), whose sum is σ = 7095503520. Its totient is φ = 1574090496.

The previous prime is 3373470323. The next prime is 3373470377. The reversal of 3373470368 is 8630743733.

It is a super-3 number, since 3×33734703683 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 671 + ... + 82142.

It is an arithmetic number, because the mean of its divisors is an integer number (147822990).

Almost surely, 23373470368 is an apocalyptic number.

3373470368 is a gapful number since it is divisible by the number (38) 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 3373470368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547751760).

3373470368 is an abundant number, since it is smaller than the sum of its proper divisors (3722033152).

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

3373470368 is a wasteful number, since it uses less digits than its factorization.

3373470368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82909 (or 82901 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 44.

The square root of 3373470368 is about 58081.5837249640. The cubic root of 3373470368 is about 1499.7733536079.

The spelling of 3373470368 in words is "three billion, three hundred seventy-three million, four hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 67 76 134 152 268 304 536 608 1072 1273 2144 2546 5092 10184 20368 40736 82813 165626 331252 662504 1325008 1573447 2650016 3146894 5548471 6293788 11096942 12587576 22193884 25175152 44387768 50350304 88775536 105420949 177551072 210841898 421683796 843367592 1686735184 3373470368