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353245420 = 2251147127269
BaseRepresentation
bin10101000011100…
…001100011101100
3220121200201121201
4111003201203230
51210412323140
655015135244
711516352013
oct2503414354
9817621551
10353245420
11171441570
129a374524
1358251478
1434cb3a7a
152102a49a
hex150e18ec

353245420 has 96 divisors (see below), whose sum is σ = 836075520. Its totient is φ = 124266240.

The previous prime is 353245393. The next prime is 353245421. The reversal of 353245420 is 24542353.

It is not an unprimeable number, because it can be changed into a prime (353245421) 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 31 ways as a sum of consecutive naturals, for example, 1313046 + ... + 1313314.

It is an arithmetic number, because the mean of its divisors is an integer number (8709120).

Almost surely, 2353245420 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 353245420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418037760).

353245420 is an abundant number, since it is smaller than the sum of its proper divisors (482830100).

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

353245420 is a wasteful number, since it uses less digits than its factorization.

353245420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 353245420 is about 18794.8242875532. The cubic root of 353245420 is about 706.9014078145.

Adding to 353245420 its reverse (24542353), we get a palindrome (377787773).

The spelling of 353245420 in words is "three hundred fifty-three million, two hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 127 188 220 235 254 269 470 508 517 538 635 940 1034 1076 1270 1345 1397 2068 2540 2585 2690 2794 2959 5170 5380 5588 5918 5969 6985 10340 11836 11938 12643 13970 14795 23876 25286 27940 29590 29845 34163 50572 59180 59690 63215 65659 68326 119380 126430 131318 136652 139073 170815 252860 262636 278146 328295 341630 375793 556292 656590 683260 695365 751586 1313180 1390730 1503172 1605661 1878965 2781460 3211322 3757930 6422644 7515860 8028305 16056610 17662271 32113220 35324542 70649084 88311355 176622710 353245420