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3793040380 = 225415978401
BaseRepresentation
bin1110001000010101…
…0011001111111100
3100210100021102020001
43202011103033330
530232004243010
61424214004044
7162665211523
oct34205231774
910710242201
103793040380
111677088418
1289a346624
13485a9b6bc
1427da7d4ba
15172ee3c3a
hexe21533fc

3793040380 has 48 divisors (see below), whose sum is σ = 8298067680. Its totient is φ = 1455104000.

The previous prime is 3793040341. The next prime is 3793040411. The reversal of 3793040380 is 830403973.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9180 + ... + 87580.

It is an arithmetic number, because the mean of its divisors is an integer number (172876410).

Almost surely, 23793040380 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 3793040380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149033840).

3793040380 is an abundant number, since it is smaller than the sum of its proper divisors (4505027300).

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

3793040380 is a wasteful number, since it uses less digits than its factorization.

3793040380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78510 (or 78508 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 3793040380 is about 61587.6641869133. The cubic root of 3793040380 is about 1559.5374998654.

The spelling of 3793040380 in words is "three billion, seven hundred ninety-three million, forty thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 41 59 82 118 164 205 236 295 410 590 820 1180 2419 4838 9676 12095 24190 48380 78401 156802 313604 392005 784010 1568020 3214441 4625659 6428882 9251318 12857764 16072205 18502636 23128295 32144410 46256590 64288820 92513180 189652019 379304038 758608076 948260095 1896520190 3793040380