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35290164 = 223713171901
BaseRepresentation
bin1000011010011…
…1110000110100
32110101221000010
42012213300310
533013241124
63300220220
7605650530
oct206476064
973357003
1035290164
1118a14028
12b99a670
137407b70
144988bc0
153171529
hex21a7c34

35290164 has 96 divisors (see below), whose sum is σ = 107364096. Its totient is φ = 8755200.

The previous prime is 35290153. The next prime is 35290207. The reversal of 35290164 is 46109253.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17614 + ... + 19514.

It is an arithmetic number, because the mean of its divisors is an integer number (1118376).

Almost surely, 235290164 is an apocalyptic number.

35290164 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35290164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53682048).

35290164 is an abundant number, since it is smaller than the sum of its proper divisors (72073932).

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

35290164 is a wasteful number, since it uses less digits than its factorization.

35290164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 35290164 is about 5940.5524995576. The cubic root of 35290164 is about 328.0080927014.

The spelling of 35290164 in words is "thirty-five million, two hundred ninety thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 51 52 68 78 84 91 102 119 156 182 204 221 238 273 357 364 442 476 546 663 714 884 1092 1326 1428 1547 1901 2652 3094 3802 4641 5703 6188 7604 9282 11406 13307 18564 22812 24713 26614 32317 39921 49426 53228 64634 74139 79842 96951 98852 129268 148278 159684 172991 193902 226219 296556 345982 387804 420121 452438 518973 678657 691964 840242 904876 1037946 1260363 1357314 1680484 2075892 2520726 2714628 2940847 5041452 5881694 8822541 11763388 17645082 35290164