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252326340 = 2235577417
BaseRepresentation
bin11110000101000…
…11000111000100
3122120210111200000
433002203013010
51004043420330
641012121300
76152511210
oct1702430704
9576714600
10252326340
1111a482572
1270606230
1340378536
1425723940
1517243560
hexf0a31c4

252326340 has 144 divisors (see below), whose sum is σ = 907251072. Its totient is φ = 57666816.

The previous prime is 252326339. The next prime is 252326357. The reversal of 252326340 is 43623252.

252326340 is a `hidden beast` number, since 2 + 5 + 23 + 2 + 634 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30312 + ... + 37728.

Almost surely, 2252326340 is an apocalyptic number.

252326340 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 252326340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453625536).

252326340 is an abundant number, since it is smaller than the sum of its proper divisors (654924732).

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

252326340 is a wasteful number, since it uses less digits than its factorization.

252326340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7448 (or 7434 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 252326340 is about 15884.7832846407. The cubic root of 252326340 is about 631.9084983430.

Adding to 252326340 its reverse (43623252), we get a palindrome (295949592).

The spelling of 252326340 in words is "two hundred fifty-two million, three hundred twenty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2430 2835 3402 3780 4860 5670 6804 7417 8505 11340 14834 17010 22251 29668 34020 37085 44502 51919 66753 74170 89004 103838 111255 133506 148340 155757 200259 207676 222510 259595 267012 311514 333765 400518 445020 467271 519190 600777 623028 667530 778785 801036 934542 1001295 1038380 1201554 1335060 1401813 1557570 1802331 1869084 2002590 2336355 2403108 2803626 3003885 3115140 3604662 4005180 4205439 4672710 5607252 6007770 7009065 7209324 8410878 9011655 9345420 12015540 12616317 14018130 16821756 18023310 21027195 25232634 28036260 36046620 42054390 50465268 63081585 84108780 126163170 252326340