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355102020 = 22325721319163
BaseRepresentation
bin10101001010100…
…110110101000100
3220202012001101200
4111022212311010
51211401231040
655123022500
711541213600
oct2512466504
9822161350
10355102020
1117249a449
129ab0aa30
1358751550
1435238500
1521295630
hex152a6d44

355102020 has 432 divisors, whose sum is σ = 1429122240. Its totient is φ = 70543872.

The previous prime is 355102009. The next prime is 355102021. The reversal of 355102020 is 20201553.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 355101984 and 355102002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355102021) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2178459 + ... + 2178621.

Almost surely, 2355102020 is an apocalyptic number.

355102020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714561120).

355102020 is an abundant number, since it is smaller than the sum of its proper divisors (1074020220).

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

355102020 is a wasteful number, since it uses less digits than its factorization.

355102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 355102020 is about 18844.1508166327. The cubic root of 355102020 is about 708.1376970521.

Adding to 355102020 its reverse (20201553), we get a palindrome (375303573).

The spelling of 355102020 in words is "three hundred fifty-five million, one hundred two thousand, twenty".