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3106896 = 243132383
BaseRepresentation
bin1011110110100001010000
312211211212020
423312201100
51243410041
6150331440
735260002
oct13664120
95754766
103106896
111832291
121059b80
1384a200
145ac372
15415866
hex2f6850

3106896 has 60 divisors (see below), whose sum is σ = 8713728. Its totient is φ = 953472.

The previous prime is 3106891. The next prime is 3106897. The reversal of 3106896 is 6986013.

It is a super-4 number, since 4×31068964 (a number of 27 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3106891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7921 + ... + 8303.

Almost surely, 23106896 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 3106896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356864).

3106896 is an abundant number, since it is smaller than the sum of its proper divisors (5606832).

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

3106896 is a wasteful number, since it uses less digits than its factorization.

3106896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 3106896 is about 1762.6389306945. The cubic root of 3106896 is about 145.9180123902.

The spelling of 3106896 in words is "three million, one hundred six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 383 507 624 676 766 1014 1149 1352 1532 2028 2298 2704 3064 4056 4596 4979 6128 8112 9192 9958 14937 18384 19916 29874 39832 59748 64727 79664 119496 129454 194181 238992 258908 388362 517816 776724 1035632 1553448 3106896