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3343392 = 2532131947
BaseRepresentation
bin1100110000010000100000
320021212021100
430300100200
51323442032
6155354400
740263333
oct14602040
96255240
103343392
111983a38
121152a00
13900a50
1463061a
1546097c
hex330420

3343392 has 144 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 953856.

The previous prime is 3343391. The next prime is 3343397. The reversal of 3343392 is 2933433.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33433922 = 22356540131328, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3343391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71113 + ... + 71159.

It is an arithmetic number, because the mean of its divisors is an integer number (76440).

Almost surely, 23343392 is an apocalyptic number.

3343392 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 3343392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

3343392 is an abundant number, since it is smaller than the sum of its proper divisors (7663968).

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

3343392 is a wasteful number, since it uses less digits than its factorization.

3343392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 84 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

The square root of 3343392 is about 1828.4944626659. The cubic root of 3343392 is about 149.5302638552.

The spelling of 3343392 in words is "three million, three hundred forty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 47 48 52 57 72 76 78 94 96 104 114 117 141 144 152 156 171 188 208 228 234 247 282 288 304 312 342 376 416 423 456 468 494 564 608 611 624 684 741 752 846 893 912 936 988 1128 1222 1248 1368 1482 1504 1692 1786 1824 1833 1872 1976 2223 2256 2444 2679 2736 2964 3384 3572 3666 3744 3952 4446 4512 4888 5358 5472 5499 5928 6768 7144 7332 7904 8037 8892 9776 10716 10998 11609 11856 13536 14288 14664 16074 17784 19552 21432 21996 23218 23712 28576 29328 32148 34827 35568 42864 43992 46436 58656 64296 69654 71136 85728 87984 92872 104481 128592 139308 175968 185744 208962 257184 278616 371488 417924 557232 835848 1114464 1671696 3343392