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353005020 = 22335653713
BaseRepresentation
bin10101000010100…
…110110111011100
3220121020111212000
4111002212313130
51210332130040
655010042300
711514331104
oct2502466734
9817214760
10353005020
11171297995
129a279390
1358198c14
1434c50204
1520ece130
hex150a6ddc

353005020 has 48 divisors (see below), whose sum is σ = 1098239520. Its totient is φ = 94134528.

The previous prime is 353005007. The next prime is 353005027. The reversal of 353005020 is 20500353.

353005020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3530050202 = 249225088290400800, which contains 22 as substring.

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 = 353004984 and 353005002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353005027) 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, 326317 + ... + 327396.

It is an arithmetic number, because the mean of its divisors is an integer number (22879990).

Almost surely, 2353005020 is an apocalyptic number.

353005020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

353005020 is an abundant number, since it is smaller than the sum of its proper divisors (745234500).

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

353005020 is a wasteful number, since it uses less digits than its factorization.

353005020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653731 (or 653723 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 353005020 is about 18788.4278214011. The cubic root of 353005020 is about 706.7410116197.

Adding to 353005020 its reverse (20500353), we get a palindrome (373505373).

The spelling of 353005020 in words is "three hundred fifty-three million, five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 653713 1307426 1961139 2614852 3268565 3922278 5883417 6537130 7844556 9805695 11766834 13074260 17650251 19611390 23533668 29417085 35300502 39222780 58834170 70601004 88251255 117668340 176502510 353005020