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406674268 = 2271113472161
BaseRepresentation
bin11000001111010…
…101101101011100
31001100020012012221
4120033111231130
51313102034033
6104204235124
713035450160
oct3017255534
91040205187
10406674268
11199614440
12b423baa4
136633a480
143c020ca0
1525a8112d
hex183d5b5c

406674268 has 96 divisors (see below), whose sum is σ = 976324608. Its totient is φ = 143078400.

The previous prime is 406674259. The next prime is 406674269. The reversal of 406674268 is 862476604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406674269) 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, 187108 + ... + 189268.

It is an arithmetic number, because the mean of its divisors is an integer number (10170048).

Almost surely, 2406674268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406674268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488162304).

406674268 is an abundant number, since it is smaller than the sum of its proper divisors (569650340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406674268 is a wasteful number, since it uses less digits than its factorization.

406674268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The square root of 406674268 is about 20166.1664180379. The cubic root of 406674268 is about 740.8817514587.

The spelling of 406674268 in words is "four hundred six million, six hundred seventy-four thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 47 52 77 91 94 143 154 182 188 286 308 329 364 517 572 611 658 1001 1034 1222 1316 2002 2068 2161 2444 3619 4004 4277 4322 6721 7238 8554 8644 13442 14476 15127 17108 23771 26884 28093 30254 47047 47542 56186 60508 94094 95084 101567 112372 166397 188188 196651 203134 309023 332794 393302 406268 618046 665588 710969 786604 1117237 1236092 1320371 1421938 2163161 2234474 2640742 2843876 4326322 4468948 5281484 7820659 8652644 9242597 14524081 15641318 18485194 29048162 31282636 36970388 58096324 101668567 203337134 406674268