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354743808 = 2934143131
BaseRepresentation
bin10101001001001…
…111011000000000
3220201111212000120
4111021033120000
51211303300213
655111220240
711535162336
oct2511173000
9821455016
10354743808
11172275301
129a977680
13586574a3
1435183b56
1521224423
hex1524f600

354743808 has 160 divisors (see below), whose sum is σ = 998186112. Its totient is φ = 111820800.

The previous prime is 354743803. The next prime is 354743821. The reversal of 354743808 is 808347453.

354743808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 354743808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354743801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2707903 + ... + 2708033.

Almost surely, 2354743808 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 354743808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499093056).

354743808 is an abundant number, since it is smaller than the sum of its proper divisors (643442304).

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

354743808 is a wasteful number, since it uses less digits than its factorization.

354743808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 354743808 is about 18834.6438246121. The cubic root of 354743808 is about 707.8995037543.

The spelling of 354743808 in words is "three hundred fifty-four million, seven hundred forty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 43 48 64 82 86 96 123 128 129 131 164 172 192 246 256 258 262 328 344 384 393 492 512 516 524 656 688 768 786 984 1032 1048 1312 1376 1536 1572 1763 1968 2064 2096 2624 2752 3144 3526 3936 4128 4192 5248 5289 5371 5504 5633 6288 7052 7872 8256 8384 10496 10578 10742 11008 11266 12576 14104 15744 16113 16512 16768 16899 20992 21156 21484 22016 22532 25152 28208 31488 32226 33024 33536 33798 42312 42968 45064 50304 56416 62976 64452 66048 67072 67596 84624 85936 90128 100608 112832 128904 135192 169248 171872 180256 201216 225664 230953 257808 270384 338496 343744 360512 451328 461906 515616 540768 676992 687488 692859 721024 902656 923812 1031232 1081536 1353984 1374976 1385718 1442048 1847624 2062464 2163072 2707968 2749952 2771436 2884096 3695248 4124928 4326144 5542872 7390496 8249856 8652288 11085744 14780992 22171488 29561984 44342976 59123968 88685952 118247936 177371904 354743808