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406667340 = 223254352541
BaseRepresentation
bin11000001111010…
…100000001001100
31001100012211201100
4120033110001030
51313101323330
6104204143100
713035421032
oct3017240114
91040184640
10406667340
1119960a212
12b4237a90
1366337281
143c01c552
1525a7e060
hex183d404c

406667340 has 72 divisors (see below), whose sum is σ = 1262269008. Its totient is φ = 105920640.

The previous prime is 406667329. The next prime is 406667351. The reversal of 406667340 is 43766604.

It is an interprime number because it is at equal distance from previous prime (406667329) and next prime (406667351).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 406667295 and 406667304.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18531 + ... + 34010.

It is an arithmetic number, because the mean of its divisors is an integer number (17531514).

Almost surely, 2406667340 is an apocalyptic number.

It is an amenable number.

406667340 is an abundant number, since it is smaller than the sum of its proper divisors (855601668).

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

406667340 is a wasteful number, since it uses less digits than its factorization.

406667340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52599 (or 52594 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 406667340 is about 20165.9946444503. The cubic root of 406667340 is about 740.8775442767.

The spelling of 406667340 in words is "four hundred six million, six hundred sixty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 52541 105082 157623 210164 262705 315246 472869 525410 630492 788115 945738 1050820 1576230 1891476 2259263 2364345 3152460 4518526 4728690 6777789 9037052 9457380 11296315 13555578 20333367 22592630 27111156 33888945 40666734 45185260 67777890 81333468 101666835 135555780 203333670 406667340