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3743916 = 22311113251
BaseRepresentation
bin1110010010000010101100
321001012200120
432102002230
51424301131
6212124540
743552131
oct16220254
97035616
103743916
112127950
121306750
13a11147
146d6588
154de496
hex3920ac

3743916 has 48 divisors (see below), whose sum is σ = 9652608. Its totient is φ = 1120000.

The previous prime is 3743903. The next prime is 3743959. The reversal of 3743916 is 6193473.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14791 + ... + 15041.

It is an arithmetic number, because the mean of its divisors is an integer number (201096).

Almost surely, 23743916 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 3743916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826304).

3743916 is an abundant number, since it is smaller than the sum of its proper divisors (5908692).

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

3743916 is a wasteful number, since it uses less digits than its factorization.

3743916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 380 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 3743916 is about 1934.9201533913. The cubic root of 3743916 is about 155.2775602520.

The spelling of 3743916 in words is "three million, seven hundred forty-three thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 113 132 226 251 339 452 502 678 753 1004 1243 1356 1506 2486 2761 3012 3729 4972 5522 7458 8283 11044 14916 16566 28363 33132 56726 85089 113452 170178 311993 340356 623986 935979 1247972 1871958 3743916