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8334080 = 28517383
BaseRepresentation
bin11111110010101100000000
3120200102012122
4133302230000
54113142310
6454343412
7130560416
oct37625400
916612178
108334080
114782577
12295ab68
13195a511
14116d2b6
15ae9555
hex7f2b00

8334080 has 72 divisors (see below), whose sum is σ = 21192192. Its totient is φ = 3129344.

The previous prime is 8334077. The next prime is 8334101. The reversal of 8334080 is 804338.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21569 + ... + 21951.

It is an arithmetic number, because the mean of its divisors is an integer number (294336).

Almost surely, 28334080 is an apocalyptic number.

8334080 is a gapful number since it is divisible by the number (80) 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 8334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10596096).

8334080 is an abundant number, since it is smaller than the sum of its proper divisors (12858112).

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

8334080 is a wasteful number, since it uses less digits than its factorization.

8334080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 8334080 is about 2886.8806695116. The cubic root of 8334080 is about 202.7461215083.

It can be divided in two parts, 833 and 4080, that added together give a cube (4913 = 173).

The spelling of 8334080 in words is "eight million, three hundred thirty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 383 544 640 680 766 1088 1280 1360 1532 1915 2176 2720 3064 3830 4352 5440 6128 6511 7660 10880 12256 13022 15320 21760 24512 26044 30640 32555 49024 52088 61280 65110 98048 104176 122560 130220 208352 245120 260440 416704 490240 520880 833408 1041760 1666816 2083520 4167040 8334080