Search a number
-
+
3350088 = 2332717223
BaseRepresentation
bin1100110001111001001000
320022012110100
430301321020
51324200323
6155445400
740322010
oct14617110
96265410
103350088
111988a75
121156860
13903b01
14632c40
15462943
hex331e48

3350088 has 144 divisors (see below), whose sum is σ = 11494080. Its totient is φ = 861696.

The previous prime is 3350029. The next prime is 3350107. The reversal of 3350088 is 8800533.

It is a super-2 number, since 2×33500882 = 22446179215488, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145645 + ... + 145667.

It is an arithmetic number, because the mean of its divisors is an integer number (79820).

Almost surely, 23350088 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 3350088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5747040).

3350088 is an abundant number, since it is smaller than the sum of its proper divisors (8143992).

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

3350088 is a wasteful number, since it uses less digits than its factorization.

3350088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3350088 is about 1830.3245613825. The cubic root of 3350088 is about 149.6300215231.

The spelling of 3350088 in words is "three million, three hundred fifty thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 23 24 28 34 36 42 46 51 56 63 68 69 72 84 92 102 119 126 136 138 153 161 168 184 204 207 238 252 276 289 306 322 357 391 408 414 476 483 504 552 578 612 644 714 782 828 867 952 966 1071 1156 1173 1224 1288 1428 1449 1564 1656 1734 1932 2023 2142 2312 2346 2601 2737 2856 2898 3128 3468 3519 3864 4046 4284 4692 5202 5474 5796 6069 6647 6936 7038 8092 8211 8568 9384 10404 10948 11592 12138 13294 14076 16184 16422 18207 19941 20808 21896 24276 24633 26588 28152 32844 36414 39882 46529 48552 49266 53176 59823 65688 72828 79764 93058 98532 119646 139587 145656 159528 186116 197064 239292 279174 372232 418761 478584 558348 837522 1116696 1675044 3350088