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3362464 = 25717883
BaseRepresentation
bin1100110100111010100000
320022211102201
430310322200
51330044324
6200022544
740403050
oct14647240
96284381
103362464
1119972a6
121161a54
13909631
14637560
15466444
hex334ea0

3362464 has 48 divisors (see below), whose sum is σ = 8019648. Its totient is φ = 1354752.

The previous prime is 3362461. The next prime is 3362473. The reversal of 3362464 is 4642633.

It is a super-2 number, since 2×33624642 = 22612328302592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 38 + 313 + 62 + 23 + 47 + 68 + 48 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3362461) 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, 3367 + ... + 4249.

It is an arithmetic number, because the mean of its divisors is an integer number (167076).

Almost surely, 23362464 is an apocalyptic number.

3362464 is a gapful number since it is divisible by the number (34) 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 3362464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009824).

3362464 is an abundant number, since it is smaller than the sum of its proper divisors (4657184).

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

3362464 is a wasteful number, since it uses less digits than its factorization.

3362464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 909 counting only the distinct ones).

The product of its digits is 10368, while the sum is 28.

The square root of 3362464 is about 1833.7022659091. The cubic root of 3362464 is about 149.8140510634.

The spelling of 3362464 in words is "three million, three hundred sixty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 883 952 1766 1904 3532 3808 6181 7064 12362 14128 15011 24724 28256 30022 49448 60044 98896 105077 120088 197792 210154 240176 420308 480352 840616 1681232 3362464