Search a number
-
+
354904 = 231137109
BaseRepresentation
bin1010110101001011000
3200000211121
41112221120
542324104
611335024
73005464
oct1265130
9600747
10354904
11222710
12151474
13c5704
14934a4
1570254
hex56a58

354904 has 32 divisors (see below), whose sum is σ = 752400. Its totient is φ = 155520.

The previous prime is 354883. The next prime is 354911. The reversal of 354904 is 409453.

It is a pancake number, because a pancake can be divided into 354904 parts by 842 straight cuts.

It is a congruent number.

It is an unprimeable number.

354904 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, 3202 + ... + 3310.

2354904 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 354904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376200).

354904 is an abundant number, since it is smaller than the sum of its proper divisors (397496).

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

354904 is a wasteful number, since it uses less digits than its factorization.

354904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 354904 is about 595.7381975331. The cubic root of 354904 is about 70.8006043337.

The spelling of 354904 in words is "three hundred fifty-four thousand, nine hundred four".

Divisors: 1 2 4 8 11 22 37 44 74 88 109 148 218 296 407 436 814 872 1199 1628 2398 3256 4033 4796 8066 9592 16132 32264 44363 88726 177452 354904