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4314374393 = 73172572879
BaseRepresentation
bin1000000010010100…
…00010000011111001
3102010200020221001012
410001022002003321
532313434440033
61552040003305
7211625402000
oct40112020371
912120227035
104314374393
11191439637a
12a04a60535
13539ab3174
142ccdc9c37
151a3b73248
hex1012820f9

4314374393 has 32 divisors (see below), whose sum is σ = 5349888000. Its totient is φ = 3465756672.

The previous prime is 4314374371. The next prime is 4314374411. The reversal of 4314374393 is 3934734134.

It is not a de Polignac number, because 4314374393 - 212 = 4314370297 is a prime.

It is a super-2 number, since 2×43143743932 = 37227652805948236898, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4314374393.

It is not an unprimeable number, because it can be changed into a prime (4314374333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1497128 + ... + 1500006.

It is an arithmetic number, because the mean of its divisors is an integer number (167184000).

Almost surely, 24314374393 is an apocalyptic number.

It is an amenable number.

4314374393 is a deficient number, since it is larger than the sum of its proper divisors (1035513607).

4314374393 is a wasteful number, since it uses less digits than its factorization.

4314374393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3160 counting only the distinct ones).

The product of its digits is 326592, while the sum is 41.

The square root of 4314374393 is about 65683.8975168191. The cubic root of 4314374393 is about 1627.9433069953.

The spelling of 4314374393 in words is "four billion, three hundred fourteen million, three hundred seventy-four thousand, three hundred ninety-three".

Divisors: 1 7 17 49 119 257 343 833 1799 2879 4369 5831 12593 20153 30583 48943 88151 141071 214081 342601 739903 987497 1498567 2398207 5179321 12578351 16787449 36255247 88048457 253786729 616339199 4314374393