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344741430 = 235115411931
BaseRepresentation
bin10100100011000…
…101011000110110
3220000200200100010
4110203011120312
51201223211210
654113001050
711354153025
oct2443053066
9800620303
10344741430
11167663380
1297553186
1356564817
1433adc8bc
15203ea920
hex148c5636

344741430 has 64 divisors (see below), whose sum is σ = 904732416. Its totient is φ = 83376000.

The previous prime is 344741389. The next prime is 344741437. The reversal of 344741430 is 34147443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344741437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177565 + ... + 179495.

It is an arithmetic number, because the mean of its divisors is an integer number (14136444).

Almost surely, 2344741430 is an apocalyptic number.

344741430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 344741430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452366208).

344741430 is an abundant number, since it is smaller than the sum of its proper divisors (559990986).

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

344741430 is a wasteful number, since it uses less digits than its factorization.

344741430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493.

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 344741430 is about 18567.2138459167. The cubic root of 344741430 is about 701.1826470560.

Adding to 344741430 its reverse (34147443), we get a palindrome (378888873).

The spelling of 344741430 in words is "three hundred forty-four million, seven hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 541 1082 1623 1931 2705 3246 3862 5410 5793 5951 8115 9655 11586 11902 16230 17853 19310 21241 28965 29755 35706 42482 57930 59510 63723 89265 106205 127446 178530 212410 318615 637230 1044671 2089342 3134013 5223355 6268026 10446710 11491381 15670065 22982762 31340130 34474143 57456905 68948286 114913810 172370715 344741430