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434400132 = 223473832011
BaseRepresentation
bin11001111001000…
…110101110000100
31010021101210221210
4121321012232010
51342201301012
6111034411420
713523224455
oct3171065604
91107353853
10434400132
11203231281
12101590b70
136bcc72ca
144199b12c
152820b23c
hex19e46b84

434400132 has 48 divisors (see below), whose sum is σ = 1038385152. Its totient is φ = 141278880.

The previous prime is 434400121. The next prime is 434400163. The reversal of 434400132 is 231004434.

It is a junction number, because it is equal to n+sod(n) for n = 434400099 and 434400108.

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, 215007 + ... + 217017.

It is an arithmetic number, because the mean of its divisors is an integer number (21633024).

Almost surely, 2434400132 is an apocalyptic number.

It is an amenable number.

434400132 is an abundant number, since it is smaller than the sum of its proper divisors (603985020).

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

434400132 is a wasteful number, since it uses less digits than its factorization.

434400132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 434400132 is about 20842.2679188230. The cubic root of 434400132 is about 757.3500344676.

Adding to 434400132 its reverse (231004434), we get a palindrome (665404566).

The spelling of 434400132 in words is "four hundred thirty-four million, four hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 383 564 766 1149 1532 2011 2298 4022 4596 6033 8044 12066 18001 24132 36002 54003 72004 94517 108006 189034 216012 283551 378068 567102 770213 1134204 1540426 2310639 3080852 4621278 9242556 36200011 72400022 108600033 144800044 217200066 434400132