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3391968 = 25389397
BaseRepresentation
bin1100111100000111100000
320101022220110
430330013200
51332020333
6200411320
740555056
oct14740740
96338813
103391968
111a07488
121176b40
13919ba8
146441d6
15470063
hex33c1e0

3391968 has 48 divisors (see below), whose sum is σ = 9026640. Its totient is φ = 1115136.

The previous prime is 3391967. The next prime is 3391987. The reversal of 3391968 is 8691933.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3391963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8346 + ... + 8742.

It is an arithmetic number, because the mean of its divisors is an integer number (188055).

Almost surely, 23391968 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 3391968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4513320).

3391968 is an abundant number, since it is smaller than the sum of its proper divisors (5634672).

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

3391968 is a wasteful number, since it uses less digits than its factorization.

3391968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 491 counting only the distinct ones).

The product of its digits is 34992, while the sum is 39.

The square root of 3391968 is about 1841.7296218501. The cubic root of 3391968 is about 150.2509576786.

The spelling of 3391968 in words is "three million, three hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 397 534 712 794 1068 1191 1424 1588 2136 2382 2848 3176 4272 4764 6352 8544 9528 12704 19056 35333 38112 70666 105999 141332 211998 282664 423996 565328 847992 1130656 1695984 3391968