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8342304 = 253671297
BaseRepresentation
bin11111110100101100100000
3120200211111020
4133310230200
54113423204
6454445440
7130623405
oct37645440
916624436
108342304
114788773
122963880
131961199
1411722ac
15aebbd9
hex7f4b20

8342304 has 48 divisors (see below), whose sum is σ = 22242528. Its totient is φ = 2737152.

The previous prime is 8342303. The next prime is 8342329. The reversal of 8342304 is 4032438.

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

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

It is not an unprimeable number, because it can be changed into a prime (8342303) 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, 5784 + ... + 7080.

It is an arithmetic number, because the mean of its divisors is an integer number (463386).

Almost surely, 28342304 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 8342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11121264).

8342304 is an abundant number, since it is smaller than the sum of its proper divisors (13900224).

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

8342304 is a wasteful number, since it uses less digits than its factorization.

8342304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 8342304 is about 2888.3046930682. The cubic root of 8342304 is about 202.8127889729.

It can be divided in two parts, 8342 and 304, that added together give a triangular number (8646 = T131).

The spelling of 8342304 in words is "eight million, three hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1297 1608 2144 2594 3216 3891 5188 6432 7782 10376 15564 20752 31128 41504 62256 86899 124512 173798 260697 347596 521394 695192 1042788 1390384 2085576 2780768 4171152 8342304