Search a number
-
+
3217056 = 253233147
BaseRepresentation
bin1100010001011010100000
320001102222020
430101122200
51310421211
6152541440
736226113
oct14213240
96042866
103217056
1118a8027
1210b1880
138883ab
145da57a
15438306
hex3116a0

3217056 has 96 divisors (see below), whose sum is σ = 9289728. Its totient is φ = 971520.

The previous prime is 3217043. The next prime is 3217069. The reversal of 3217056 is 6507123.

It is an interprime number because it is at equal distance from previous prime (3217043) and next prime (3217069).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×32170564 (a number of 27 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 68425 + ... + 68471.

It is an arithmetic number, because the mean of its divisors is an integer number (96768).

Almost surely, 23217056 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 3217056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644864).

3217056 is an abundant number, since it is smaller than the sum of its proper divisors (6072672).

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

3217056 is a wasteful number, since it uses less digits than its factorization.

3217056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 3217056 is about 1793.6153433777. The cubic root of 3217056 is about 147.6226080042.

The spelling of 3217056 in words is "three million, two hundred seventeen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 47 48 62 69 92 93 94 96 124 138 141 184 186 188 248 276 282 368 372 376 496 552 564 713 736 744 752 992 1081 1104 1128 1426 1457 1488 1504 2139 2162 2208 2256 2852 2914 2976 3243 4278 4324 4371 4512 5704 5828 6486 8556 8648 8742 11408 11656 12972 17112 17296 17484 22816 23312 25944 33511 34224 34592 34968 46624 51888 67022 68448 69936 100533 103776 134044 139872 201066 268088 402132 536176 804264 1072352 1608528 3217056