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34343244 = 22331361401
BaseRepresentation
bin1000001100000…
…0100101001100
32101121211002000
42003000211030
532242440434
63224032300
7564625035
oct203004514
971554060
1034343244
1118427651
12b602690
137165b60
1447bda8c
153035b99
hex20c094c

34343244 has 96 divisors (see below), whose sum is σ = 97702080. Its totient is φ = 10368000.

The previous prime is 34343237. The next prime is 34343293. The reversal of 34343244 is 44234343.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85444 + ... + 85844.

It is an arithmetic number, because the mean of its divisors is an integer number (1017730).

Almost surely, 234343244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34343244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48851040).

34343244 is an abundant number, since it is smaller than the sum of its proper divisors (63358836).

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

34343244 is a wasteful number, since it uses less digits than its factorization.

34343244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 480 counting only the distinct ones).

The product of its digits is 13824, while the sum is 27.

The square root of 34343244 is about 5860.3109132537. The cubic root of 34343244 is about 325.0477058176.

Adding to 34343244 its reverse (44234343), we get a palindrome (78577587).

The spelling of 34343244 in words is "thirty-four million, three hundred forty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 61 78 108 117 122 156 183 234 244 351 366 401 468 549 702 732 793 802 1098 1203 1404 1586 1604 1647 2196 2379 2406 3172 3294 3609 4758 4812 5213 6588 7137 7218 9516 10426 10827 14274 14436 15639 20852 21411 21654 24461 28548 31278 42822 43308 46917 48922 62556 73383 85644 93834 97844 140751 146766 187668 220149 281502 293532 317993 440298 563004 635986 660447 880596 953979 1271972 1320894 1907958 2641788 2861937 3815916 5723874 8585811 11447748 17171622 34343244