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254664340 = 225737211233
BaseRepresentation
bin11110010110111…
…01111010010100
3122202012021210121
433023131322110
51010143224330
641134201324
76211416430
oct1713357224
9582167717
10254664340
1112082a0a7
1271353244
13409b6778
1425b719c0
151755617a
hexf2dde94

254664340 has 96 divisors (see below), whose sum is σ = 633394944. Its totient is φ = 84188160.

The previous prime is 254664331. The next prime is 254664343. The reversal of 254664340 is 43466452.

It is a junction number, because it is equal to n+sod(n) for n = 254664296 and 254664305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254664343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1092864 + ... + 1093096.

It is an arithmetic number, because the mean of its divisors is an integer number (6597864).

Almost surely, 2254664340 is an apocalyptic number.

254664340 is a gapful number since it is divisible by the number (20) 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 254664340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316697472).

254664340 is an abundant number, since it is smaller than the sum of its proper divisors (378730604).

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

254664340 is a wasteful number, since it uses less digits than its factorization.

254664340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The square root of 254664340 is about 15958.2060395271. The cubic root of 254664340 is about 633.8542092304.

The spelling of 254664340 in words is "two hundred fifty-four million, six hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 211 233 259 370 422 466 518 740 844 932 1036 1055 1165 1295 1477 1631 2110 2330 2590 2954 3262 4220 4660 5180 5908 6524 7385 7807 8155 8621 14770 15614 16310 17242 29540 31228 32620 34484 39035 43105 49163 54649 60347 78070 86210 98326 109298 120694 156140 172420 196652 218596 241388 245815 273245 301735 344141 491630 546490 603470 688282 983260 1092980 1206940 1376564 1720705 1819031 3441410 3638062 6882820 7276124 9095155 12733217 18190310 25466434 36380620 50932868 63666085 127332170 254664340