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353034912 = 25323281569
BaseRepresentation
bin10101000010101…
…110001010100000
3220121022000212010
4111002232022200
51210334104122
655010432520
711514514206
oct2502561240
9817260763
10353034912
1117130839a
129a292740
13581a96c9
1434c5b076
1520ed7e0c
hex150ae2a0

353034912 has 96 divisors (see below), whose sum is σ = 972155520. Its totient is φ = 111964160.

The previous prime is 353034911. The next prime is 353034919. The reversal of 353034912 is 219430353.

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

It is a self number, because there is not a number n which added to its sum of digits gives 353034912.

It is not an unprimeable number, because it can be changed into a prime (353034911) 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, 620164 + ... + 620732.

It is an arithmetic number, because the mean of its divisors is an integer number (10126620).

Almost surely, 2353034912 is an apocalyptic number.

353034912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353034912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486077760).

353034912 is an abundant number, since it is smaller than the sum of its proper divisors (619120608).

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

353034912 is a wasteful number, since it uses less digits than its factorization.

353034912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 353034912 is about 18789.2232942184. The cubic root of 353034912 is about 706.7609596893.

The spelling of 353034912 in words is "three hundred fifty-three million, thirty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 281 368 552 562 569 736 843 1104 1124 1138 1686 1707 2208 2248 2276 3372 3414 4496 4552 6463 6744 6828 8992 9104 12926 13087 13488 13656 18208 19389 25852 26174 26976 27312 38778 39261 51704 52348 54624 77556 78522 103408 104696 155112 157044 159889 206816 209392 310224 314088 319778 418784 479667 620448 628176 639556 959334 1256352 1279112 1918668 2558224 3677447 3837336 5116448 7354894 7674672 11032341 14709788 15349344 22064682 29419576 44129364 58839152 88258728 117678304 176517456 353034912