Search a number
-
+
3376680 = 2335191481
BaseRepresentation
bin1100111000011000101000
320100112221020
430320120220
51331023210
6200212440
740462356
oct14703050
96315836
103376680
1119a6a4a
12116a120
13912c48
1463c7d6
1546a770
hex338628

3376680 has 64 divisors (see below), whose sum is σ = 10670400. Its totient is φ = 852480.

The previous prime is 3376669. The next prime is 3376687. The reversal of 3376680 is 866733.

It is a happy number.

It is a super-2 number, since 2×33766802 = 22803935644800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3376687) 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, 1540 + ... + 3020.

It is an arithmetic number, because the mean of its divisors is an integer number (166725).

Almost surely, 23376680 is an apocalyptic number.

3376680 is a gapful number since it is divisible by the number (30) 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 3376680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5335200).

3376680 is an abundant number, since it is smaller than the sum of its proper divisors (7293720).

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

3376680 is a wasteful number, since it uses less digits than its factorization.

3376680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 3376680 is about 1837.5744882861. The cubic root of 3376680 is about 150.0248847603.

The spelling of 3376680 in words is "three million, three hundred seventy-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 1481 2280 2962 4443 5924 7405 8886 11848 14810 17772 22215 28139 29620 35544 44430 56278 59240 84417 88860 112556 140695 168834 177720 225112 281390 337668 422085 562780 675336 844170 1125560 1688340 3376680