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354232100 = 225229122149
BaseRepresentation
bin10101000111010…
…010011100100100
3220200112212002102
4111013102130210
51211140411400
655052231232
711530631435
oct2507223444
9820485072
10354232100
11171a55902
129a76b518
13585085c1
143508d48c
15211729d5
hex151d2724

354232100 has 36 divisors (see below), whose sum is σ = 795196500. Its totient is φ = 136805760.

The previous prime is 354232097. The next prime is 354232147. The reversal of 354232100 is 1232453.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9535744 + 344696356 = 3088^2 + 18566^2 .

It is a super-3 number, since 3×3542321003 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58175 + ... + 63974.

Almost surely, 2354232100 is an apocalyptic number.

It is an amenable number.

354232100 is an abundant number, since it is smaller than the sum of its proper divisors (440964400).

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

354232100 is a wasteful number, since it uses less digits than its factorization.

354232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122192 (or 122185 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 354232100 is about 18821.0546994583. The cubic root of 354232100 is about 707.5589648983.

Adding to 354232100 its reverse (1232453), we get a palindrome (355464553).

The spelling of 354232100 in words is "three hundred fifty-four million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 122149 244298 488596 610745 1221490 2442980 3053725 3542321 6107450 7084642 12214900 14169284 17711605 35423210 70846420 88558025 177116050 354232100