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7342368 = 2531117409
BaseRepresentation
bin11100000000100100100000
3111211000211120
4130000210200
53334423433
6421212240
7116260215
oct34004440
914730746
107342368
114165480
122561080
1316a0cc7
14d91b0c
159a07b3
hex700920

7342368 has 96 divisors (see below), whose sum is σ = 22317120. Its totient is φ = 2088960.

The previous prime is 7342343. The next prime is 7342369. The reversal of 7342368 is 8632437.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (7342369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17748 + ... + 18156.

It is an arithmetic number, because the mean of its divisors is an integer number (232470).

Almost surely, 27342368 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 7342368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11158560).

7342368 is an abundant number, since it is smaller than the sum of its proper divisors (14974752).

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

7342368 is a wasteful number, since it uses less digits than its factorization.

7342368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 442 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 7342368 is about 2709.6804239615. The cubic root of 7342368 is about 194.3623087353.

The spelling of 7342368 in words is "seven million, three hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 409 528 544 561 748 816 818 1056 1122 1227 1496 1632 1636 2244 2454 2992 3272 4488 4499 4908 5984 6544 6953 8976 8998 9816 13088 13497 13906 17952 17996 19632 20859 26994 27812 35992 39264 41718 53988 55624 71984 76483 83436 107976 111248 143968 152966 166872 215952 222496 229449 305932 333744 431904 458898 611864 667488 917796 1223728 1835592 2447456 3671184 7342368