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7342080 = 21135239
BaseRepresentation
bin11100000000100000000000
3111211000102220
4130000200000
53334421310
6421211040
7116256324
oct34004000
914730386
107342080
114165239
122560a80
1316a0b35
14d91984
159a0670
hex700800

7342080 has 96 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 1949696.

The previous prime is 7342067. The next prime is 7342081. The reversal of 7342080 is 802437.

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

It is a super-2 number, since 2×73420802 = 107812277452800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 7342080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7342081) 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, 30601 + ... + 30839.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 27342080 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 7342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793600).

7342080 is an abundant number, since it is smaller than the sum of its proper divisors (16245120).

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

7342080 is a wasteful number, since it uses less digits than its factorization.

7342080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 7342080 is about 2709.6272806421. The cubic root of 7342080 is about 194.3597674536.

The spelling of 7342080 in words is "seven million, three hundred forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 239 240 256 320 384 478 480 512 640 717 768 956 960 1024 1195 1280 1434 1536 1912 1920 2048 2390 2560 2868 3072 3585 3824 3840 4780 5120 5736 6144 7170 7648 7680 9560 10240 11472 14340 15296 15360 19120 22944 28680 30592 30720 38240 45888 57360 61184 76480 91776 114720 122368 152960 183552 229440 244736 305920 367104 458880 489472 611840 734208 917760 1223680 1468416 1835520 2447360 3671040 7342080