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342124224 = 263131131213
BaseRepresentation
bin10100011001000…
…110011011000000
3212211202201012120
4110121012123000
51200040433344
653540524240
711323002501
oct2431063300
9784681176
10342124224
11166135aa2
12966b0680
1355b59490
143361aba8
1520080219
hex146466c0

342124224 has 112 divisors (see below), whose sum is σ = 984272352. Its totient is φ = 104251392.

The previous prime is 342124219. The next prime is 342124229. The reversal of 342124224 is 422421243.

It is an interprime number because it is at equal distance from previous prime (342124219) and next prime (342124229).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 342124194 and 342124203.

It is not an unprimeable number, because it can be changed into a prime (342124229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281442 + ... + 282654.

It is an arithmetic number, because the mean of its divisors is an integer number (8788146).

Almost surely, 2342124224 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 342124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492136176).

342124224 is an abundant number, since it is smaller than the sum of its proper divisors (642148128).

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

342124224 is a wasteful number, since it uses less digits than its factorization.

342124224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1344 counting only the distinct ones).

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

The square root of 342124224 is about 18496.6003362780. The cubic root of 342124224 is about 699.4037262401.

Adding to 342124224 its reverse (422421243), we get a palindrome (764545467).

The spelling of 342124224 in words is "three hundred forty-two million, one hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 113 156 192 208 226 312 339 416 452 624 678 832 904 1213 1248 1356 1469 1808 2426 2496 2712 2938 3616 3639 4407 4852 5424 5876 7232 7278 8814 9704 10848 11752 14556 15769 17628 19408 21696 23504 29112 31538 35256 38816 47008 47307 58224 63076 70512 77632 94016 94614 116448 126152 137069 141024 189228 232896 252304 274138 282048 378456 411207 504608 548276 756912 822414 1009216 1096552 1513824 1644828 1781897 2193104 3027648 3289656 3563794 4386208 5345691 6579312 7127588 8772416 10691382 13158624 14255176 21382764 26317248 28510352 42765528 57020704 85531056 114041408 171062112 342124224