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334540403040 = 2535696959173
BaseRepresentation
bin1001101111001000010…
…10010111000101100000
31011222111200210022011210
410313210022113011200
520440114320344130
6413404041510120
733112136336004
oct4674412270540
91158450708153
10334540403040
11119972377338
1254a04aa2340
1325715a7560c
14122985b2704
158a7ec075b0
hex4de4297160

334540403040 has 48 divisors (see below), whose sum is σ = 1053802271088. Its totient is φ = 89210774016.

The previous prime is 334540403033. The next prime is 334540403089. The reversal of 334540403040 is 40304045433.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3345404030402 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 334540402989 and 334540403007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348479107 + ... + 348480066.

It is an arithmetic number, because the mean of its divisors is an integer number (21954213981).

Almost surely, 2334540403040 is an apocalyptic number.

334540403040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334540403040 is an abundant number, since it is smaller than the sum of its proper divisors (719261868048).

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

334540403040 is a wasteful number, since it uses less digits than its factorization.

334540403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696959191 (or 696959183 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 334540403040 its reverse (40304045433), we get a palindrome (374844448473).

The spelling of 334540403040 in words is "three hundred thirty-four billion, five hundred forty million, four hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 696959173 1393918346 2090877519 2787836692 3484795865 4181755038 5575673384 6969591730 8363510076 10454387595 11151346768 13939183460 16727020152 20908775190 22302693536 27878366920 33454040304 41817550380 55756733840 66908080608 83635100760 111513467680 167270201520 334540403040