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353195430 = 23572972477
BaseRepresentation
bin10101000011010…
…101010110100110
3220121121012001020
4111003111112212
51210404223210
655014112010
711516053200
oct2503252646
9817535036
10353195430
11171407a55
129a34b606
13582347a3
1434c9d770
152101a770
hex150d55a6

353195430 has 96 divisors (see below), whose sum is σ = 996631776. Its totient is φ = 79865856.

The previous prime is 353195419. The next prime is 353195467. The reversal of 353195430 is 34591353.

353195430 = 402 + 412 + ... + 10192.

353195430 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 = 353195391 and 353195400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141352 + ... + 143828.

It is an arithmetic number, because the mean of its divisors is an integer number (10381581).

Almost surely, 2353195430 is an apocalyptic number.

353195430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 353195430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498315888).

353195430 is an abundant number, since it is smaller than the sum of its proper divisors (643436346).

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

353195430 is a wasteful number, since it uses less digits than its factorization.

353195430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 33.

The square root of 353195430 is about 18793.4943531000. The cubic root of 353195430 is about 706.8680602073.

The spelling of 353195430 in words is "three hundred fifty-three million, one hundred ninety-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 97 98 105 147 194 210 245 291 294 485 490 582 679 735 970 1358 1455 1470 2037 2477 2910 3395 4074 4753 4954 6790 7431 9506 10185 12385 14259 14862 17339 20370 23765 24770 28518 34678 37155 47530 52017 71295 74310 86695 104034 121373 142590 173390 240269 242746 260085 364119 480538 520170 606865 720807 728238 1201345 1213730 1441614 1681883 1820595 2402690 3363766 3604035 3641190 5045649 7208070 8409415 10091298 11773181 16818830 23546362 25228245 35319543 50456490 58865905 70639086 117731810 176597715 353195430