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3714033344 = 26710777479
BaseRepresentation
bin1101110101011111…
…1010011011000000
3100120211121102221112
43131113322123000
530101243031334
61412312342452
7161015522360
oct33527723300
910524542845
103714033344
11163652524a
128779a4a28
134725c8288
142733949a0
1516b0d94ce
hexdd5fa6c0

3714033344 has 56 divisors (see below), whose sum is σ = 8501725440. Its totient is φ = 1576832256.

The previous prime is 3714033331. The next prime is 3714033347. The reversal of 3714033344 is 4433304173.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3714033344.

It is not an unprimeable number, because it can be changed into a prime (3714033347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9197 + ... + 86675.

Almost surely, 23714033344 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 3714033344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250862720).

3714033344 is an abundant number, since it is smaller than the sum of its proper divisors (4787692096).

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

3714033344 is a wasteful number, since it uses less digits than its factorization.

3714033344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77605 (or 77595 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 32.

The square root of 3714033344 is about 60942.8695090738. The cubic root of 3714033344 is about 1548.6333210169.

The spelling of 3714033344 in words is "three billion, seven hundred fourteen million, thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 107 112 214 224 428 448 749 856 1498 1712 2996 3424 5992 6848 11984 23968 47936 77479 154958 309916 542353 619832 1084706 1239664 2169412 2479328 4338824 4958656 8290253 8677648 16580506 17355296 33161012 34710592 58031771 66322024 116063542 132644048 232127084 265288096 464254168 530576192 928508336 1857016672 3714033344