Search a number
-
+
354214300 = 225211322013
BaseRepresentation
bin10101000111001…
…110000110011100
3220200111221200011
4111013032012130
51211134324200
655052013004
711530525516
oct2507160634
9820457604
10354214300
11171a434a0
129a761164
135850047b
1435086bb6
152116c5ba
hex151ce19c

354214300 has 36 divisors (see below), whose sum is σ = 838524456. Its totient is φ = 128804800.

The previous prime is 354214279. The next prime is 354214309. The reversal of 354214300 is 3412453.

354214300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3542143003 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354214309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159907 + ... + 162106.

It is an arithmetic number, because the mean of its divisors is an integer number (23292346).

Almost surely, 2354214300 is an apocalyptic number.

It is an amenable number.

354214300 is an abundant number, since it is smaller than the sum of its proper divisors (484310156).

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

354214300 is a wasteful number, since it uses less digits than its factorization.

354214300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322038 (or 322031 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 354214300 is about 18820.5818188493. The cubic root of 354214300 is about 707.5471131957.

Adding to 354214300 its reverse (3412453), we get a palindrome (357626753).

The spelling of 354214300 in words is "three hundred fifty-four million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 322013 644026 1288052 1610065 3220130 3542143 6440260 7084286 8050325 14168572 16100650 17710715 32201300 35421430 70842860 88553575 177107150 354214300