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344221404 = 2231923411601
BaseRepresentation
bin10100100001000…
…110011011011100
3212222201020222220
4110201012123130
51201110041104
654053505340
711346555642
oct2441063334
9788636886
10344221404
111673386aa
1297342250
1356411c07
1433a05192
15203467d9
hex148466dc

344221404 has 96 divisors (see below), whose sum is σ = 904296960. Its totient is φ = 101376000.

The previous prime is 344221393. The next prime is 344221417. The reversal of 344221404 is 404122443.

It is a happy number.

It is a super-3 number, since 3×3442214043 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 214204 + ... + 215804.

It is an arithmetic number, because the mean of its divisors is an integer number (9419760).

Almost surely, 2344221404 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 344221404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452148480).

344221404 is an abundant number, since it is smaller than the sum of its proper divisors (560075556).

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

344221404 is a wasteful number, since it uses less digits than its factorization.

344221404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 344221404 is about 18553.2046827496. The cubic root of 344221404 is about 700.8299027737.

Adding to 344221404 its reverse (404122443), we get a palindrome (748343847).

The spelling of 344221404 in words is "three hundred forty-four million, two hundred twenty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 12 19 23 38 41 46 57 69 76 82 92 114 123 138 164 228 246 276 437 492 779 874 943 1311 1558 1601 1748 1886 2337 2622 2829 3116 3202 3772 4674 4803 5244 5658 6404 9348 9606 11316 17917 19212 30419 35834 36823 53751 60838 65641 71668 73646 91257 107502 110469 121676 131282 147292 182514 196923 215004 220938 262564 365028 393846 441876 699637 787692 1247179 1399274 1509743 2098911 2494358 2798548 3019486 3741537 4197822 4529229 4988716 6038972 7483074 8395644 9058458 14966148 18116916 28685117 57370234 86055351 114740468 172110702 344221404