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406790397 = 331323411229
BaseRepresentation
bin11000001111110…
…010000011111101
31001100110002112000
4120033302003331
51313114243042
6104210532513
713036442556
oct3017620375
91040402460
10406790397
11199693712
12b4297139
136637b2a0
143c05132d
1525aa574c
hex183f20fd

406790397 has 64 divisors (see below), whose sum is σ = 694310400. Its totient is φ = 233418240.

The previous prime is 406790393. The next prime is 406790471. The reversal of 406790397 is 793097604.

It is not a de Polignac number, because 406790397 - 22 = 406790393 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406790393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 330379 + ... + 331607.

It is an arithmetic number, because the mean of its divisors is an integer number (10848600).

Almost surely, 2406790397 is an apocalyptic number.

It is an amenable number.

406790397 is a deficient number, since it is larger than the sum of its proper divisors (287520003).

406790397 is a wasteful number, since it uses less digits than its factorization.

406790397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 406790397 is about 20169.0455153436. The cubic root of 406790397 is about 740.9522662625.

The spelling of 406790397 in words is "four hundred six million, seven hundred ninety thousand, three hundred ninety-seven".

Divisors: 1 3 9 13 23 27 39 41 69 117 123 207 299 351 369 533 621 897 943 1107 1229 1599 2691 2829 3687 4797 8073 8487 11061 12259 14391 15977 25461 28267 33183 36777 47931 50389 84801 110331 143793 151167 254403 330993 367471 431379 453501 655057 763209 1102413 1158947 1360503 1965171 3307239 3476841 5895513 9921717 10430523 15066311 17686539 31291569 45198933 135596799 406790397