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340221316440 = 23355939477383
BaseRepresentation
bin1001111001101101100…
…01010100110101011000
31012112011121102121022210
410330312301110311120
521033233124111230
6420143455315120
733403000321515
oct4746661246530
91175147377283
10340221316440
11121318077695
1255b2b51baa0
132610c9bcb35
1412676c8030c
158cb3810eb0
hex4f36c54d58

340221316440 has 64 divisors (see below), whose sum is σ = 1020837945600. Its totient is φ = 90710218112.

The previous prime is 340221316439. The next prime is 340221316441. The reversal of 340221316440 is 44613122043.

It is an interprime number because it is at equal distance from previous prime (340221316439) and next prime (340221316441).

It is a super-2 number, since 2×3402213164402 (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 = 340221316398 and 340221316407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340221316441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 473989 + ... + 951371.

It is an arithmetic number, because the mean of its divisors is an integer number (15950592900).

Almost surely, 2340221316440 is an apocalyptic number.

340221316440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340221316440 is an abundant number, since it is smaller than the sum of its proper divisors (680616629160).

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

340221316440 is a wasteful number, since it uses less digits than its factorization.

340221316440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483336 (or 483332 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 340221316440 its reverse (44613122043), we get a palindrome (384834438483).

The spelling of 340221316440 in words is "three hundred forty billion, two hundred twenty-one million, three hundred sixteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 5939 11878 17817 23756 29695 35634 47512 59390 71268 89085 118780 142536 178170 237560 356340 477383 712680 954766 1432149 1909532 2386915 2864298 3819064 4773830 5728596 7160745 9547660 11457192 14321490 19095320 28642980 57285960 2835177637 5670355274 8505532911 11340710548 14175888185 17011065822 22681421096 28351776370 34022131644 42527664555 56703552740 68044263288 85055329110 113407105480 170110658220 340221316440