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344023424 = 27171953157
BaseRepresentation
bin10100100000010…
…110000110000000
3212222100012102022
4110200112012000
51201032222144
654045341012
711345102513
oct2440260600
9788305368
10344023424
11167212988
1297267768
1356372a74
1433992d7a
1520307cee
hex14816180

344023424 has 128 divisors (see below), whose sum is σ = 783237600. Its totient is φ = 149520384.

The previous prime is 344023391. The next prime is 344023453. The reversal of 344023424 is 424320443.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 344023393 and 344023402.

It is a congruent number.

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, 2191154 + ... + 2191310.

Almost surely, 2344023424 is an apocalyptic number.

344023424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391618800).

344023424 is an abundant number, since it is smaller than the sum of its proper divisors (439214176).

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

344023424 is a wasteful number, since it uses less digits than its factorization.

344023424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 344023424 is about 18547.8684489620. The cubic root of 344023424 is about 700.6955155141.

Adding to 344023424 its reverse (424320443), we get a palindrome (768343867).

It can be divided in two parts, 34 and 4023424, that multiplied together give a square (136796416 = 116962).

The spelling of 344023424 in words is "three hundred forty-four million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 53 64 68 76 106 128 136 152 157 212 272 304 314 323 424 544 608 628 646 848 901 1007 1088 1216 1256 1292 1696 1802 2014 2176 2432 2512 2584 2669 2983 3392 3604 4028 5024 5168 5338 5966 6784 7208 8056 8321 10048 10336 10676 11932 14416 16112 16642 17119 20096 20672 21352 23864 28832 32224 33284 34238 41344 42704 47728 50711 57664 64448 66568 68476 85408 95456 101422 115328 128896 133136 136952 141457 158099 170816 190912 202844 266272 273904 282914 316198 341632 381824 405688 532544 547808 565828 632396 811376 1065088 1095616 1131656 1264792 1622752 2191232 2263312 2529584 2687683 3245504 4526624 5059168 5375366 6491008 9053248 10118336 10750732 18106496 20236672 21501464 43002928 86005856 172011712 344023424