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353042100 = 223252392269
BaseRepresentation
bin10101000010101…
…111111010110100
3220121022101201100
4111002233322310
51210334321400
655010530100
711514544155
oct2502577264
9817271640
10353042100
11171312834
129a296930
13581aca68
1434c5d92c
1520eda100
hex150afeb4

353042100 has 54 divisors (see below), whose sum is σ = 1106593670. Its totient is φ = 94144320.

The previous prime is 353042071. The next prime is 353042101. The reversal of 353042100 is 1240353.

353042100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 49028004 + 304014096 = 7002^2 + 17436^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353042101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 195235 + ... + 197034.

Almost surely, 2353042100 is an apocalyptic number.

353042100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

353042100 is an abundant number, since it is smaller than the sum of its proper divisors (753551570).

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

353042100 is a wasteful number, since it uses less digits than its factorization.

353042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392289 (or 392279 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 353042100 is about 18789.4145731047. The cubic root of 353042100 is about 706.7657563473.

Adding to 353042100 its reverse (1240353), we get a palindrome (354282453).

The spelling of 353042100 in words is "three hundred fifty-three million, forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 392269 784538 1176807 1569076 1961345 2353614 3530421 3922690 4707228 5884035 7060842 7845380 9806725 11768070 14121684 17652105 19613450 23536140 29420175 35304210 39226900 58840350 70608420 88260525 117680700 176521050 353042100