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3748314440 = 235137208297
BaseRepresentation
bin1101111101101010…
…1011110101001000
3100200020010002202202
43133122223311020
530134032030230
61415535215332
7161613101303
oct33732536510
910606102682
103748314440
11165390a132
12887377548
1347973ba50
14277b59b3a
1516e10ba45
hexdf6abd48

3748314440 has 32 divisors (see below), whose sum is σ = 9082455480. Its totient is φ = 1383992832.

The previous prime is 3748314421. The next prime is 3748314461. The reversal of 3748314440 is 444138473.

It can be written as a sum of positive squares in 4 ways, for example, as 2127607876 + 1620706564 = 46126^2 + 40258^2 .

It is a super-2 number, since 2×37483144402 = 28099722282225027200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3748314394 and 3748314403.

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 7 ways as a sum of consecutive naturals, for example, 3603629 + ... + 3604668.

Almost surely, 23748314440 is an apocalyptic number.

It is an amenable number.

3748314440 is an abundant number, since it is smaller than the sum of its proper divisors (5334141040).

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

3748314440 is a wasteful number, since it uses less digits than its factorization.

3748314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7208321 (or 7208317 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The square root of 3748314440 is about 61223.4794829565. The cubic root of 3748314440 is about 1553.3834435667.

The spelling of 3748314440 in words is "three billion, seven hundred forty-eight million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 7208297 14416594 28833188 36041485 57666376 72082970 93707861 144165940 187415722 288331880 374831444 468539305 749662888 937078610 1874157220 3748314440