Search a number
-
+
354004660 = 225413491237
BaseRepresentation
bin10101000110011…
…010111010110100
3220200010022002201
4111012122322310
51211111122120
655043314244
711525663362
oct2506327264
9820108081
10354004660
1117190aa39
129a67b984
1358458c19
1435030632
152112a40a
hex1519aeb4

354004660 has 48 divisors (see below), whose sum is σ = 764341200. Its totient is φ = 137640960.

The previous prime is 354004657. The next prime is 354004663. The reversal of 354004660 is 66400453.

It is an interprime number because it is at equal distance from previous prime (354004657) and next prime (354004663).

It can be written as a sum of positive squares in 8 ways, for example, as 3341584 + 350663076 = 1828^2 + 18726^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354004663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285562 + ... + 286798.

It is an arithmetic number, because the mean of its divisors is an integer number (15923775).

Almost surely, 2354004660 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 354004660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382170600).

354004660 is an abundant number, since it is smaller than the sum of its proper divisors (410336540).

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

354004660 is a wasteful number, since it uses less digits than its factorization.

354004660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 354004660 is about 18815.0115599220. The cubic root of 354004660 is about 707.4074995501.

The spelling of 354004660 in words is "three hundred fifty-four million, four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 205 349 410 698 820 1237 1396 1745 2474 3490 4948 6185 6980 12370 14309 24740 28618 50717 57236 71545 101434 143090 202868 253585 286180 431713 507170 863426 1014340 1726852 2158565 4317130 8634260 17700233 35400466 70800932 88501165 177002330 354004660