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334034340432 = 24313991540173
BaseRepresentation
bin1001101110001011111…
…11111000101001010000
31011221012102112122210020
410313011333320221100
520433100242343212
6413241523103440
733063453021552
oct4670577705120
91157172478706
10334034340432
11119732749a81
12548a3511b80
1325664c79ba0
141224b2bd4d2
158a50592d8c
hex4dc5ff8a50

334034340432 has 80 divisors (see below), whose sum is σ = 930240127488. Its totient is φ = 102675893760.

The previous prime is 334034340403. The next prime is 334034340533. The reversal of 334034340432 is 234043430433.

It is a super-2 number, since 2×3340343404322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334034340393 and 334034340402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348298 + ... + 888470.

Almost surely, 2334034340432 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 334034340432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465120063744).

334034340432 is an abundant number, since it is smaller than the sum of its proper divisors (596205787056).

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

334034340432 is a wasteful number, since it uses less digits than its factorization.

334034340432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541188 (or 541182 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 33.

Adding to 334034340432 its reverse (234043430433), we get a palindrome (568077770865).

Subtracting from 334034340432 its reverse (234043430433), we obtain a palindrome (99990909999).

The spelling of 334034340432 in words is "three hundred thirty-four billion, thirty-four million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 991 1982 2973 3964 5946 7928 11892 12883 15856 23784 25766 38649 47568 51532 77298 103064 154596 206128 309192 540173 618384 1080346 1620519 2160692 3241038 4321384 6482076 7022249 8642768 12964152 14044498 21066747 25928304 28088996 42133494 56177992 84266988 112355984 168533976 337067952 535311443 1070622886 1605934329 2141245772 3211868658 4282491544 6423737316 6959048759 8564983088 12847474632 13918097518 20877146277 25694949264 27836195036 41754292554 55672390072 83508585108 111344780144 167017170216 334034340432