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353606140 = 225234118749
BaseRepresentation
bin10101000100111…
…001100111111100
3220122101001102201
4111010321213330
51211010344030
655031001244
711522413456
oct2504714774
9818331381
10353606140
11171668588
129a509224
1358349704
1434d692d6
152109c2ca
hex151399fc

353606140 has 48 divisors (see below), whose sum is σ = 793800000. Its totient is φ = 131985920.

The previous prime is 353606129. The next prime is 353606147. The reversal of 353606140 is 41606353.

353606140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 353606099 and 353606108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353606147) 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, 9486 + ... + 28234.

It is an arithmetic number, because the mean of its divisors is an integer number (16537500).

Almost surely, 2353606140 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 353606140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396900000).

353606140 is an abundant number, since it is smaller than the sum of its proper divisors (440193860).

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

353606140 is a wasteful number, since it uses less digits than its factorization.

353606140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18822 (or 18820 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 353606140 is about 18804.4180978833. The cubic root of 353606140 is about 707.1419457089.

The spelling of 353606140 in words is "three hundred fifty-three million, six hundred six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 820 943 1886 3772 4715 9430 18749 18860 37498 74996 93745 187490 374980 431227 768709 862454 1537418 1724908 2156135 3074836 3843545 4312270 7687090 8624540 15374180 17680307 35360614 70721228 88401535 176803070 353606140