Search a number
-
+
3416352 = 253191873
BaseRepresentation
bin1101000010000100100000
320102120100120
431002010200
51333310402
6201120240
741016132
oct15020440
96376316
103416352
111a23835
121189080
13928014
1464d052
154773bc
hex342120

3416352 has 48 divisors (see below), whose sum is σ = 9444960. Its totient is φ = 1078272.

The previous prime is 3416323. The next prime is 3416353. The reversal of 3416352 is 2536143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (3416353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 888 + ... + 2760.

It is an arithmetic number, because the mean of its divisors is an integer number (196770).

Almost surely, 23416352 is an apocalyptic number.

3416352 is a gapful number since it is divisible by the number (32) 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 3416352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722480).

3416352 is an abundant number, since it is smaller than the sum of its proper divisors (6028608).

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

3416352 is a wasteful number, since it uses less digits than its factorization.

3416352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1897 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 3416352 is about 1848.3376314949. The cubic root of 3416352 is about 150.6101370756.

The spelling of 3416352 in words is "three million, four hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 1873 3746 5619 7492 11238 14984 22476 29968 35587 44952 59936 71174 89904 106761 142348 179808 213522 284696 427044 569392 854088 1138784 1708176 3416352