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3407215084 = 2271323123227
BaseRepresentation
bin1100101100010101…
…1111100111101100
322210110021110102021
43023011133213230
523434221340314
61322032235524
7150301564450
oct31305374754
98713243367
103407215084
111499314139
127b109bba4
13423b80c00
14244728660
1514e1d0324
hexcb15f9ec

3407215084 has 72 divisors (see below), whose sum is σ = 7617297408. Its totient is φ = 1304372160.

The previous prime is 3407215073. The next prime is 3407215093. The reversal of 3407215084 is 4805127043.

It is a super-2 number, since 2×34072150842 = 23218229257274254112, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135079 + ... + 158305.

Almost surely, 23407215084 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 3407215084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808648704).

3407215084 is an abundant number, since it is smaller than the sum of its proper divisors (4210082324).

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

3407215084 is a wasteful number, since it uses less digits than its factorization.

3407215084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23295 (or 23280 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 3407215084 is about 58371.3549954085. The cubic root of 3407215084 is about 1504.7574998810.

The spelling of 3407215084 in words is "three billion, four hundred seven million, two hundred fifteen thousand, eighty-four".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 169 182 217 338 364 403 434 676 806 868 1183 1612 2366 2821 4732 5239 5642 10478 11284 20956 23227 36673 46454 73346 92908 146692 162589 301951 325178 603902 650356 720037 1207804 1440074 2113657 2880148 3925363 4227314 5040259 7850726 8454628 9360481 10080518 15701452 18720962 20161036 27477541 37441924 54955082 65523367 109910164 121686253 131046734 243372506 262093468 486745012 851803771 1703607542 3407215084