Search a number
-
+
3400351023040 = 26552937200731
BaseRepresentation
bin110001011110110100101…
…101101111111111000000
3110001001220022100110112021
4301132310231233333000
5421202404330214130
611122033311211224
7500444603542636
oct61366455577700
913031808313467
103400351023040
1110a1098561964
1246b016816b14
131b8861ac1c8a
14ba813951356
155d6b6d7937a
hex317b4b6ffc0

3400351023040 has 56 divisors (see below), whose sum is σ = 8097279169392. Its totient is φ = 1360107939840.

The previous prime is 3400351023031. The next prime is 3400351023053. The reversal of 3400351023040 is 403201530043.

It is a super-2 number, since 2×34003510230402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3400351022996 and 3400351023014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16839475 + ... + 17040205.

It is an arithmetic number, because the mean of its divisors is an integer number (144594270882).

Almost surely, 23400351023040 is an apocalyptic number.

It is an amenable number.

3400351023040 is an abundant number, since it is smaller than the sum of its proper divisors (4696928146352).

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

3400351023040 is a wasteful number, since it uses less digits than its factorization.

3400351023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253685 (or 253675 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 3400351023040 its reverse (403201530043), we get a palindrome (3803552553083).

The spelling of 3400351023040 in words is "three trillion, four hundred billion, three hundred fifty-one million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 52937 105874 200731 211748 264685 401462 423496 529370 802924 846992 1003655 1058740 1605848 1693984 2007310 2117480 3211696 3387968 4014620 4234960 6423392 8029240 8469920 12846784 16058480 16939840 32116960 64233920 10626096947 21252193894 42504387788 53130484735 85008775576 106260969470 170017551152 212521938940 340035102304 425043877880 680070204608 850087755760 1700175511520 3400351023040