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3402252 = 2232723587
BaseRepresentation
bin1100111110101000001100
320101212000100
430332220030
51332333002
6200531100
740630050
oct14765014
96355010
103402252
111a14187
121180a90
13921789
14647c60
1547311c
hex33ea0c

3402252 has 72 divisors (see below), whose sum is σ = 10273536. Its totient is φ = 928224.

The previous prime is 3402241. The next prime is 3402263. The reversal of 3402252 is 2522043.

3402252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3402241) and next prime (3402263).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 5503 + ... + 6089.

It is an arithmetic number, because the mean of its divisors is an integer number (142688).

Almost surely, 23402252 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 3402252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136768).

3402252 is an abundant number, since it is smaller than the sum of its proper divisors (6871284).

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

3402252 is a wasteful number, since it uses less digits than its factorization.

3402252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3402252 is about 1844.5194496128. The cubic root of 3402252 is about 150.4026515113.

Adding to 3402252 its reverse (2522043), we get a palindrome (5924295).

The spelling of 3402252 in words is "three million, four hundred two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 587 644 828 966 1174 1449 1761 1932 2348 2898 3522 4109 5283 5796 7044 8218 10566 12327 13501 16436 21132 24654 27002 36981 40503 49308 54004 73962 81006 94507 121509 147924 162012 189014 243018 283521 378028 486036 567042 850563 1134084 1701126 3402252