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353434080 = 25351743313
BaseRepresentation
bin10101000100001…
…111100111100000
3220122001022102010
4111010033213200
51210434342310
655023152520
711521066026
oct2504174740
9818038363
10353434080
1117156028a
129a445740
13582b92bc
1434d22716
1521066320
hex1510f9e0

353434080 has 96 divisors (see below), whose sum is σ = 1178833824. Its totient is φ = 88702976.

The previous prime is 353434043. The next prime is 353434121. The reversal of 353434080 is 80434353.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13497 + ... + 29816.

It is an arithmetic number, because the mean of its divisors is an integer number (12279519).

Almost surely, 2353434080 is an apocalyptic number.

353434080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

353434080 is an abundant number, since it is smaller than the sum of its proper divisors (825399744).

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

353434080 is a wasteful number, since it uses less digits than its factorization.

353434080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43348 (or 43340 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 353434080 is about 18799.8425525322. The cubic root of 353434080 is about 707.0272318421.

The spelling of 353434080 in words is "three hundred fifty-three million, four hundred thirty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 43313 86626 129939 173252 216565 259878 346504 433130 519756 649695 693008 736321 866260 1039512 1299390 1386016 1472642 1732520 2079024 2208963 2598780 2945284 3465040 3681605 4158048 4417926 5197560 5890568 6930080 7363210 8835852 10395120 11044815 11781136 14726420 17671704 20790240 22089630 23562272 29452840 35343408 44179260 58905680 70686816 88358520 117811360 176717040 353434080