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3113397 = 34717219
BaseRepresentation
bin1011111000000110110101
312212011210000
423320012311
51244112042
6150421513
735314650
oct13700665
95764700
103113397
111837161
121061899
13850161
145b0897
1541774c
hex2f81b5

3113397 has 60 divisors (see below), whose sum is σ = 5943520. Its totient is φ = 1586304.

The previous prime is 3113393. The next prime is 3113399. The reversal of 3113397 is 7933113.

It is not a de Polignac number, because 3113397 - 22 = 3113393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

3113397 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3113397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3113393) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 163854 + ... + 163872.

Almost surely, 23113397 is an apocalyptic number.

It is an amenable number.

3113397 is a deficient number, since it is larger than the sum of its proper divisors (2830123).

3113397 is a wasteful number, since it uses less digits than its factorization.

3113397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

The product of its digits is 1701, while the sum is 27.

The square root of 3113397 is about 1764.4820769846. The cubic root of 3113397 is about 146.0197164841.

Subtracting from 3113397 its product of digits (1701), we obtain a 4-th power (3111696 = 424).

The spelling of 3113397 in words is "three million, one hundred thirteen thousand, three hundred ninety-seven".

Divisors: 1 3 7 9 17 19 21 27 51 57 63 81 119 133 153 171 189 289 323 357 399 459 513 567 867 969 1071 1197 1377 1539 2023 2261 2601 2907 3213 3591 5491 6069 6783 7803 8721 9639 10773 16473 18207 20349 23409 26163 38437 49419 54621 61047 115311 148257 163863 183141 345933 444771 1037799 3113397