Search a number
-
+
3371424 = 253729173
BaseRepresentation
bin1100110111000110100000
320100021201120
430313012200
51330341144
6200132240
740441140
oct14670640
96307646
103371424
1119a3001
121167080
13910734
1463a920
15468e19
hex3371a0

3371424 has 96 divisors (see below), whose sum is σ = 10523520. Its totient is φ = 924672.

The previous prime is 3371419. The next prime is 3371441. The reversal of 3371424 is 4241733.

3371424 = T49 + T50 + ... + T272.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33714242 = 22732999575552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3371394 and 3371403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19402 + ... + 19574.

It is an arithmetic number, because the mean of its divisors is an integer number (109620).

Almost surely, 23371424 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 3371424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5261760).

3371424 is an abundant number, since it is smaller than the sum of its proper divisors (7152096).

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

3371424 is a wasteful number, since it uses less digits than its factorization.

3371424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 3371424 is about 1836.1437852194. The cubic root of 3371424 is about 149.9470035002.

The spelling of 3371424 in words is "three million, three hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 173 174 203 224 232 336 346 348 406 464 519 609 672 692 696 812 928 1038 1211 1218 1384 1392 1624 2076 2422 2436 2768 2784 3248 3633 4152 4844 4872 5017 5536 6496 7266 8304 9688 9744 10034 14532 15051 16608 19376 19488 20068 29064 30102 35119 38752 40136 58128 60204 70238 80272 105357 116256 120408 140476 160544 210714 240816 280952 421428 481632 561904 842856 1123808 1685712 3371424