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801368397 = 3429389877
BaseRepresentation
bin101111110000111…
…110100101001101
32001211220201210000
4233300332211031
53120122242042
6211304034513
725600343004
oct5760764515
92054821700
10801368397
11381395a35
121a4462a39
13ca0419ab
1478603c3b
154a54774c
hex2fc3e94d

801368397 has 40 divisors (see below), whose sum is σ = 1242984600. Its totient is φ = 513910656.

The previous prime is 801368387. The next prime is 801368401. The reversal of 801368397 is 793863108.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 154480041 + 646888356 = 12429^2 + 25434^2 .

It is not a de Polignac number, because 801368397 - 210 = 801367373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801368387) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 913323 + ... + 914199.

It is an arithmetic number, because the mean of its divisors is an integer number (31074615).

Almost surely, 2801368397 is an apocalyptic number.

801368397 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

801368397 is a deficient number, since it is larger than the sum of its proper divisors (441616203).

801368397 is a wasteful number, since it uses less digits than its factorization.

801368397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 801368397 is about 28308.4509819948. The cubic root of 801368397 is about 928.8467599097.

The spelling of 801368397 in words is "eight hundred one million, three hundred sixty-eight thousand, three hundred ninety-seven".

Divisors: 1 3 9 27 29 81 87 261 389 783 877 1167 2349 2631 3501 7893 10503 11281 23679 25433 31509 33843 71037 76299 101529 228897 304587 341153 686691 913761 1023459 2060073 3070377 9211131 9893437 27633393 29680311 89040933 267122799 801368397