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3743389104 = 2437213235323
BaseRepresentation
bin1101111100011111…
…1001010110110000
3100122212211212110220
43133013321112300
530131301422404
61415241453040
7161523165600
oct33707712660
910585755426
103743389104
111651055704
128857a1180
13478705c50
14277236c00
1516d9874d9
hexdf1f95b0

3743389104 has 240 divisors, whose sum is σ = 12643690752. Its totient is φ = 944165376.

The previous prime is 3743389087. The next prime is 3743389121. The reversal of 3743389104 is 4019833473.

It is an interprime number because it is at equal distance from previous prime (3743389087) and next prime (3743389121).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 700587 + ... + 705909.

Almost surely, 23743389104 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 3743389104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6321845376).

3743389104 is an abundant number, since it is smaller than the sum of its proper divisors (8900301648).

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

3743389104 is a wasteful number, since it uses less digits than its factorization.

3743389104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384 (or 5371 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 3743389104 is about 61183.2420193634. The cubic root of 3743389104 is about 1552.7027563661.

The spelling of 3743389104 in words is "three billion, seven hundred forty-three million, three hundred eighty-nine thousand, one hundred four".