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416221434 = 23250345971
BaseRepresentation
bin11000110011110…
…000100011111010
31002000012020110200
4120303300203322
51323023041214
6105145023030
713212552366
oct3063604372
91060166420
10416221434
111a3a45362
12b7484a76
1368300b95
143d3c82a6
1526819d09
hex18cf08fa

416221434 has 24 divisors (see below), whose sum is σ = 903625632. Its totient is φ = 138461640.

The previous prime is 416221423. The next prime is 416221439. The reversal of 416221434 is 434122614.

It is a happy number.

416221434 is a `hidden beast` number, since 4 + 1 + 6 + 221 + 434 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 416221398 and 416221407.

It is not an unprimeable number, because it can be changed into a prime (416221439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13932 + ... + 32039.

It is an arithmetic number, because the mean of its divisors is an integer number (37651068).

Almost surely, 2416221434 is an apocalyptic number.

416221434 is an abundant number, since it is smaller than the sum of its proper divisors (487404198).

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

416221434 is a wasteful number, since it uses less digits than its factorization.

416221434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46482 (or 46479 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 416221434 is about 20401.5056797286. The cubic root of 416221434 is about 746.6346605736.

The spelling of 416221434 in words is "four hundred sixteen million, two hundred twenty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 503 1006 1509 3018 4527 9054 45971 91942 137913 275826 413739 827478 23123413 46246826 69370239 138740478 208110717 416221434