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3426361288 = 2371747731049
BaseRepresentation
bin1100110000111010…
…0001111111001000
322211210022012001221
43030032201333020
524004122030123
61323554451424
7150623406340
oct31416417710
98753265057
103426361288
1114a9100a49
127b7593b74
13427b2581c
142470add20
15150c1325d
hexcc3a1fc8

3426361288 has 128 divisors (see below), whose sum is σ = 8055936000. Its totient is φ = 1332854784.

The previous prime is 3426361261. The next prime is 3426361291. The reversal of 3426361288 is 8821636243.

3426361288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3265788 + ... + 3266836.

It is an arithmetic number, because the mean of its divisors is an integer number (62937000).

Almost surely, 23426361288 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 3426361288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027968000).

3426361288 is an abundant number, since it is smaller than the sum of its proper divisors (4629574712).

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

3426361288 is a wasteful number, since it uses less digits than its factorization.

3426361288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1195 counting only the distinct ones).

The product of its digits is 331776, while the sum is 43.

The square root of 3426361288 is about 58535.1286664683. The cubic root of 3426361288 is about 1507.5708040344.

The spelling of 3426361288 in words is "three billion, four hundred twenty-six million, three hundred sixty-one thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 47 56 68 73 94 119 136 146 188 238 292 329 376 476 511 584 658 799 952 1022 1049 1241 1316 1598 2044 2098 2482 2632 3196 3431 4088 4196 4964 5593 6392 6862 7343 8392 8687 9928 11186 13724 14686 17374 17833 22372 24017 27448 29372 34748 35666 44744 48034 49303 58327 58744 69496 71332 76577 96068 98606 116654 124831 142664 153154 192136 197212 233308 249662 306308 345121 394424 408289 466616 499324 536039 612616 690242 816578 838151 998648 1072078 1301809 1380484 1633156 1676302 2144156 2603618 2760968 3266312 3352604 3599119 4288312 5207236 5867057 6705208 7198238 9112663 10414472 11734114 14396476 18225326 23468228 25193833 28792952 36450652 46936456 50387666 61185023 72901304 100775332 122370046 201550664 244740092 428295161 489480184 856590322 1713180644 3426361288