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344213430 = 235114722193
BaseRepresentation
bin10100100001000…
…100011110110110
3212222200212001120
4110201010132312
51201104312210
654053404410
711346523461
oct2441043666
9788625046
10344213430
11167332710
1297339706
135640b3b2
1433a022d8
1520344270
hex148447b6

344213430 has 64 divisors (see below), whose sum is σ = 920429568. Its totient is φ = 81666560.

The previous prime is 344213413. The next prime is 344213437. The reversal of 344213430 is 34312443.

It is a self number, because there is not a number n which added to its sum of digits gives 344213430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344213437) 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, 4414 + ... + 26606.

It is an arithmetic number, because the mean of its divisors is an integer number (14381712).

Almost surely, 2344213430 is an apocalyptic number.

344213430 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 344213430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460214784).

344213430 is an abundant number, since it is smaller than the sum of its proper divisors (576216138).

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

344213430 is a wasteful number, since it uses less digits than its factorization.

344213430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22261.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 344213430 is about 18552.9897860156. The cubic root of 344213430 is about 700.8244910816.

Adding to 344213430 its reverse (34312443), we get a palindrome (378525873).

The spelling of 344213430 in words is "three hundred forty-four million, two hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 110 141 165 235 282 330 470 517 705 1034 1410 1551 2585 3102 5170 7755 15510 22193 44386 66579 110965 133158 221930 244123 332895 488246 665790 732369 1043071 1220615 1464738 2086142 2441230 3129213 3661845 5215355 6258426 7323690 10430710 11473781 15646065 22947562 31292130 34421343 57368905 68842686 114737810 172106715 344213430