Search a number
-
+
374664 = 23367233
BaseRepresentation
bin1011011011110001000
3201000221110
41123132020
543442124
612010320
73120213
oct1333610
9630843
10374664
11236544
121609a0
131016c4
149a77a
1576029
hex5b788

374664 has 32 divisors (see below), whose sum is σ = 954720. Its totient is φ = 122496.

The previous prime is 374653. The next prime is 374669. The reversal of 374664 is 466473.

374664 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×3746642 = 280746225792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 35 + 72 + 62 + 48 + 66 + 49 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374669) by changing a digit.

374664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1492 + ... + 1724.

It is an arithmetic number, because the mean of its divisors is an integer number (29835).

2374664 is an apocalyptic number.

It is an amenable number.

374664 is an abundant number, since it is smaller than the sum of its proper divisors (580056).

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

374664 is a wasteful number, since it uses less digits than its factorization.

374664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 305 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 374664 is about 612.0980313643. The cubic root of 374664 is about 72.0909344860.

Adding to 374664 its product of digits (12096), we get a triangular number (386760 = T879).

Subtracting 374664 from its reverse (466473), we obtain a square (91809 = 3032).

The spelling of 374664 in words is "three hundred seventy-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 233 268 402 466 536 699 804 932 1398 1608 1864 2796 5592 15611 31222 46833 62444 93666 124888 187332 374664