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344221630140 = 22356171792957
BaseRepresentation
bin1010000001001010011…
…01010011111010111100
31012220111101201121002110
411000211031103322330
521114431214131030
6422044440054020
733604063402623
oct5004515237274
91186441647073
10344221630140
11122a90155573
1256867164310
13265c96c126b
14129362766ba
158e49ae91b0
hex5025353ebc

344221630140 has 48 divisors (see below), whose sum is σ = 963846549792. Its totient is φ = 91789959936.

The previous prime is 344221630139. The next prime is 344221630147. The reversal of 344221630140 is 41036122443.

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 = 344221630098 and 344221630107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344221630147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3656542 + ... + 3749498.

It is an arithmetic number, because the mean of its divisors is an integer number (20080136454).

Almost surely, 2344221630140 is an apocalyptic number.

344221630140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344221630140 is an abundant number, since it is smaller than the sum of its proper divisors (619624919652).

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

344221630140 is a wasteful number, since it uses less digits than its factorization.

344221630140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154686 (or 154684 counting only the distinct ones).

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

Adding to 344221630140 its reverse (41036122443), we get a palindrome (385257752583).

The spelling of 344221630140 in words is "three hundred forty-four billion, two hundred twenty-one million, six hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61717 92957 123434 185151 185914 246868 278871 308585 370302 371828 464785 557742 617170 740604 925755 929570 1115484 1234340 1394355 1851510 1859140 2788710 3703020 5577420 5737027169 11474054338 17211081507 22948108676 28685135845 34422163014 57370271690 68844326028 86055407535 114740543380 172110815070 344221630140