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405976340 = 225711263621
BaseRepresentation
bin11000001100101…
…011010100010100
31001021220201211202
4120030223110110
51312412220330
6104141252032
713026512330
oct3014532424
91037821752
10405976340
11199188040
12b3b64018
13661548b3
143bcbc7c0
1525994445
hex1832b514

405976340 has 48 divisors (see below), whose sum is σ = 1062923904. Its totient is φ = 126537600.

The previous prime is 405976313. The next prime is 405976369. The reversal of 405976340 is 43679504.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 405976294 and 405976303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130271 + ... + 133350.

It is an arithmetic number, because the mean of its divisors is an integer number (22144248).

Almost surely, 2405976340 is an apocalyptic number.

It is an amenable number.

405976340 is an abundant number, since it is smaller than the sum of its proper divisors (656947564).

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

405976340 is a wasteful number, since it uses less digits than its factorization.

405976340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263648 (or 263646 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 405976340 is about 20148.8545580140. The cubic root of 405976340 is about 740.4576788902.

The spelling of 405976340 in words is "four hundred five million, nine hundred seventy-six thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 263621 527242 1054484 1318105 1845347 2636210 2899831 3690694 5272420 5799662 7381388 9226735 11599324 14499155 18453470 20298817 28998310 36906940 40597634 57996620 81195268 101494085 202988170 405976340