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353400102 = 232112211769
BaseRepresentation
bin10101000100000…
…111010100100110
3220121222120210200
4111010013110212
51210432300402
655022331330
711520564666
oct2504072446
9817876720
10353400102
11171537800
129a429b46
13582a69b3
1434d141a6
152105b21c
hex15107526

353400102 has 72 divisors (see below), whose sum is σ = 846725880. Its totient is φ = 106444800.

The previous prime is 353400079. The next prime is 353400109. The reversal of 353400102 is 201004353.

It is a super-2 number, since 2×3534001022 = 249783264187220808, which contains 22 as substring.

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 (353400109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 459174 + ... + 459942.

Almost surely, 2353400102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353400102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423362940).

353400102 is an abundant number, since it is smaller than the sum of its proper divisors (493325778).

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

353400102 is a wasteful number, since it uses less digits than its factorization.

353400102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 996 counting only the distinct ones).

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

The square root of 353400102 is about 18798.9388530310. The cubic root of 353400102 is about 707.0045740184.

Adding to 353400102 its reverse (201004353), we get a palindrome (554404455).

The spelling of 353400102 in words is "three hundred fifty-three million, four hundred thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 211 242 363 422 633 726 769 1089 1266 1538 1899 2178 2307 2321 3798 4614 4642 6921 6963 8459 13842 13926 16918 20889 25377 25531 41778 50754 51062 76131 76593 93049 152262 153186 162259 186098 229779 279147 324518 459558 486777 558294 837441 973554 1460331 1674882 1784849 2920662 3569698 5354547 10709094 16063641 19633339 32127282 39266678 58900017 117800034 176700051 353400102