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3383712 = 253231379
BaseRepresentation
bin1100111010000110100000
320100220120200
430322012200
51331234322
6200305200
740522023
oct14720640
96326520
103383712
111a01262
121172200
139161c7
146411ba
1546c8ac
hex33a1a0

3383712 has 72 divisors (see below), whose sum is σ = 9959040. Its totient is φ = 1088640.

The previous prime is 3383693. The next prime is 3383741. The reversal of 3383712 is 2173833.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33837122 = 22899013797888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8739 + ... + 9117.

It is an arithmetic number, because the mean of its divisors is an integer number (138320).

Almost surely, 23383712 is an apocalyptic number.

3383712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3383712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979520).

3383712 is an abundant number, since it is smaller than the sum of its proper divisors (6575328).

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

3383712 is a wasteful number, since it uses less digits than its factorization.

3383712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 415 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 3383712 is about 1839.4868849764. The cubic root of 3383712 is about 150.1289557710.

It can be divided in two parts, 3383 and 712, that added together give a triangular number (4095 = T90).

The spelling of 3383712 in words is "three million, three hundred eighty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 379 496 558 744 758 992 1116 1137 1488 1516 2232 2274 2976 3032 3411 4464 4548 6064 6822 8928 9096 11749 12128 13644 18192 23498 27288 35247 36384 46996 54576 70494 93992 105741 109152 140988 187984 211482 281976 375968 422964 563952 845928 1127904 1691856 3383712