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3442524140 = 22511171635647
BaseRepresentation
bin1100110100110000…
…1011111111101100
322212220201100100002
43031030023333230
524022241233030
61325333123432
7151210654346
oct31514137754
98786640302
103442524140
111507240380
12800a89578
1342b294543
142492ba296
15152357245
hexcd30bfec

3442524140 has 96 divisors (see below), whose sum is σ = 8403139584. Its totient is φ = 1170754560.

The previous prime is 3442524133. The next prime is 3442524187. The reversal of 3442524140 is 414252443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606797 + ... + 612443.

It is an arithmetic number, because the mean of its divisors is an integer number (87532704).

Almost surely, 23442524140 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 3442524140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201569792).

3442524140 is an abundant number, since it is smaller than the sum of its proper divisors (4960615444).

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

3442524140 is a wasteful number, since it uses less digits than its factorization.

3442524140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5847 (or 5845 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 3442524140 is about 58673.0273635169. The cubic root of 3442524140 is about 1509.9375937251.

Adding to 3442524140 its reverse (414252443), we get a palindrome (3856776583).

The spelling of 3442524140 in words is "three billion, four hundred forty-two million, five hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 163 170 187 220 326 340 374 652 748 815 935 1630 1793 1870 2771 3260 3586 3740 5542 5647 7172 8965 11084 11294 13855 17930 22588 27710 28235 30481 35860 55420 56470 60962 62117 95999 112940 121924 124234 152405 191998 248468 304810 310585 383996 479995 609620 621170 920461 959990 1055989 1242340 1840922 1919980 2111978 3681844 4223956 4602305 5279945 9204610 10125071 10559890 15647837 18409220 20250142 21119780 31295674 40500284 50625355 62591348 78239185 101250710 156478370 172126207 202501420 312956740 344252414 688504828 860631035 1721262070 3442524140