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354003104 = 25713177151
BaseRepresentation
bin10101000110011…
…010100010100000
3220200010012222002
4111012122202200
51211111044404
655043303132
711525656010
oct2506324240
9820105862
10354003104
11171909854
129a67aaa8
13584582c0
143502dc40
1521129c1e
hex1519a8a0

354003104 has 96 divisors (see below), whose sum is σ = 908361216. Its totient is φ = 131788800.

The previous prime is 354003103. The next prime is 354003113. The reversal of 354003104 is 401300453.

It is not an unprimeable number, because it can be changed into a prime (354003103) 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, 45929 + ... + 53079.

It is an arithmetic number, because the mean of its divisors is an integer number (9462096).

Almost surely, 2354003104 is an apocalyptic number.

354003104 is a gapful number since it is divisible by the number (34) 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 354003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454180608).

354003104 is an abundant number, since it is smaller than the sum of its proper divisors (554358112).

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

354003104 is a wasteful number, since it uses less digits than its factorization.

354003104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7198 (or 7190 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 354003104 is about 18814.9702099153. The cubic root of 354003104 is about 707.4064630970.

Adding to 354003104 its reverse (401300453), we get a palindrome (755303557).

The spelling of 354003104 in words is "three hundred fifty-four million, three thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 68 91 104 112 119 136 182 208 221 224 238 272 364 416 442 476 544 728 884 952 1456 1547 1768 1904 2912 3094 3536 3808 6188 7072 7151 12376 14302 24752 28604 49504 50057 57208 92963 100114 114416 121567 185926 200228 228832 243134 371852 400456 486268 650741 743704 800912 850969 972536 1301482 1487408 1580371 1601824 1701938 1945072 2602964 2974816 3160742 3403876 3890144 5205928 6321484 6807752 10411856 11062597 12642968 13615504 20823712 22125194 25285936 27231008 44250388 50571872 88500776 177001552 354003104