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344031142440 = 233514593196459
BaseRepresentation
bin1010000000110011101…
…10101010001000101000
31012220000010021211002110
411000121312222020220
521114033433024230
6422013513202320
733566261314116
oct5003166521050
91186003254073
10344031142440
111229a267a317
12568134003a0
13265990b784b
1412918c4cab6
158e3801d4b0
hex5019daa228

344031142440 has 64 divisors (see below), whose sum is σ = 1032169406400. Its totient is φ = 91734884352.

The previous prime is 344031142387. The next prime is 344031142463. The reversal of 344031142440 is 44241130443.

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 = 344031142398 and 344031142407.

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, 1652931 + ... + 1849389.

It is an arithmetic number, because the mean of its divisors is an integer number (16127646975).

Almost surely, 2344031142440 is an apocalyptic number.

344031142440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344031142440 is an abundant number, since it is smaller than the sum of its proper divisors (688138263960).

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

344031142440 is a wasteful number, since it uses less digits than its factorization.

344031142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211066 (or 211062 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 344031142440 its reverse (44241130443), we get a palindrome (388272272883).

The spelling of 344031142440 in words is "three hundred forty-four billion, thirty-one million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 14593 29186 43779 58372 72965 87558 116744 145930 175116 196459 218895 291860 350232 392918 437790 583720 589377 785836 875580 982295 1178754 1571672 1751160 1964590 2357508 2946885 3929180 4715016 5893770 7858360 11787540 23575080 2866926187 5733852374 8600778561 11467704748 14334630935 17201557122 22935409496 28669261870 34403114244 43003892805 57338523740 68806228488 86007785610 114677047480 172015571220 344031142440