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34436164 = 2273197409
BaseRepresentation
bin1000001101011…
…1010001000100
32101210112112111
42003113101010
532303424124
63230030404
7565462660
oct203272104
971715474
1034436164
1118490444
12b648404
137199239
1448058a0
153053494
hex20d7444

34436164 has 48 divisors (see below), whose sum is σ = 72002560. Its totient is φ = 14100480.

The previous prime is 34436153. The next prime is 34436173. The reversal of 34436164 is 46163443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 83992 + ... + 84400.

Almost surely, 234436164 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 34436164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36001280).

34436164 is an abundant number, since it is smaller than the sum of its proper divisors (37566396).

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

34436164 is a wasteful number, since it uses less digits than its factorization.

34436164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 546 counting only the distinct ones).

The product of its digits is 20736, while the sum is 31.

The square root of 34436164 is about 5868.2334650216. The cubic root of 34436164 is about 325.3405944175.

Adding to 34436164 its product of digits (20736), we get a square (34456900 = 58702).

The spelling of 34436164 in words is "thirty-four million, four hundred thirty-six thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 31 62 97 124 194 217 388 409 434 679 818 868 1358 1636 2716 2863 3007 5726 6014 11452 12028 12679 21049 25358 39673 42098 50716 79346 84196 88753 158692 177506 277711 355012 555422 1110844 1229863 2459726 4919452 8609041 17218082 34436164