Search a number
-
+
354913300 = 22527975227
BaseRepresentation
bin10101001001111…
…000110000010100
3220201211110112001
4111021320300110
51211324211200
655115005044
711536466440
oct2511706024
9821743461
10354913300
11172380685
129aa39784
13586b6691
14351c9820
152125976a
hex15278c14

354913300 has 72 divisors (see below), whose sum is σ = 889429184. Its totient is φ = 120407040.

The previous prime is 354913291. The next prime is 354913333. The reversal of 354913300 is 3319453.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65287 + ... + 70513.

Almost surely, 2354913300 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 354913300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444714592).

354913300 is an abundant number, since it is smaller than the sum of its proper divisors (534515884).

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

354913300 is a wasteful number, since it uses less digits than its factorization.

354913300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5345 (or 5338 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 354913300 is about 18839.1427618138. The cubic root of 354913300 is about 708.0122275437.

The spelling of 354913300 in words is "three hundred fifty-four million, nine hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 97 100 140 175 194 350 388 485 679 700 970 1358 1940 2425 2716 3395 4850 5227 6790 9700 10454 13580 16975 20908 26135 33950 36589 52270 67900 73178 104540 130675 146356 182945 261350 365890 507019 522700 731780 914725 1014038 1829450 2028076 2535095 3549133 3658900 5070190 7098266 10140380 12675475 14196532 17745665 25350950 35491330 50701900 70982660 88728325 177456650 354913300