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3780349146 = 232730002771
BaseRepresentation
bin1110000101010011…
…1000110011011010
3100202110101122010100
43201110320303122
530220232133041
61423042000230
7162452303040
oct34124706332
910673348110
103780349146
11166a9aa2a2
12896046076
13483276bb2
1427c0d8390
15171d386b6
hexe1538cda

3780349146 has 24 divisors (see below), whose sum is σ = 9360864864. Its totient is φ = 1080099720.

The previous prime is 3780349141. The next prime is 3780349189. The reversal of 3780349146 is 6419430873.

3780349146 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3780349141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15001260 + ... + 15001511.

It is an arithmetic number, because the mean of its divisors is an integer number (390036036).

Almost surely, 23780349146 is an apocalyptic number.

3780349146 is an abundant number, since it is smaller than the sum of its proper divisors (5580515718).

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

3780349146 is a wasteful number, since it uses less digits than its factorization.

3780349146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30002786 (or 30002783 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3780349146 is about 61484.5439602507. The cubic root of 3780349146 is about 1557.7961904159.

The spelling of 3780349146 in words is "three billion, seven hundred eighty million, three hundred forty-nine thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 30002771 60005542 90008313 180016626 210019397 270024939 420038794 540049878 630058191 1260116382 1890174573 3780349146