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3790132401 = 311397439659
BaseRepresentation
bin1110000111101000…
…1101010010110001
3100210010210200020010
43201322031102301
530230233214101
61424031405133
7162631410456
oct34172152261
910703720203
103790132401
111675481630
128993837a9
134852c0bc3
1427d52382d
15172b1c2d6
hexe1e8d4b1

3790132401 has 32 divisors (see below), whose sum is σ = 5547801600. Its totient is φ = 2282575680.

The previous prime is 3790132393. The next prime is 3790132403. The reversal of 3790132401 is 1042310973.

3790132401 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 not a de Polignac number, because 3790132401 - 23 = 3790132393 is a prime.

It is a super-3 number, since 3×37901324013 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3790132403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5751010 + ... + 5751668.

It is an arithmetic number, because the mean of its divisors is an integer number (173368800).

Almost surely, 23790132401 is an apocalyptic number.

It is an amenable number.

3790132401 is a deficient number, since it is larger than the sum of its proper divisors (1757669199).

3790132401 is a wasteful number, since it uses less digits than its factorization.

3790132401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 3790132401 is about 61564.0512068529. The cubic root of 3790132401 is about 1559.1388520524.

The spelling of 3790132401 in words is "three billion, seven hundred ninety million, one hundred thirty-two thousand, four hundred one".

Divisors: 1 3 11 33 397 439 659 1191 1317 1977 4367 4829 7249 13101 14487 21747 174283 261623 289301 522849 784869 867903 1917113 2877853 3182311 5751339 8633559 9546933 114852497 344557491 1263377467 3790132401