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368640 = 213325
BaseRepresentation
bin1011010000000000000
3200201200100
41122000000
543244030
611522400
73063516
oct1320000
9621610
10368640
11231a68
12159400
13cba3c
14984b6
1574360
hex5a000

368640 has 84 divisors (see below), whose sum is σ = 1277874. Its totient is φ = 98304.

The previous prime is 368633. The next prime is 368647. The reversal of 368640 is 46863.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (2!)9.

It is an interprime number because it is at equal distance from previous prime (368633) and next prime (368647).

It can be written as a sum of positive squares in only one way, i.e., 331776 + 36864 = 576^2 + 192^2 .

It is a zygodrome in base 4.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368640.

It is not an unprimeable number, because it can be changed into a prime (368647) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73726 + ... + 73730.

368640 is a Friedman number, since it can be written as 60*6*4^(8-3), using all its digits and the basic arithmetic operations.

2368640 is an apocalyptic number.

368640 is a gapful number since it is divisible by the number (30) 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 368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638937).

368640 is an abundant number, since it is smaller than the sum of its proper divisors (909234).

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

368640 is an equidigital number, since it uses as much as digits as its factorization.

368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 368640 is about 607.1573107523. The cubic root of 368640 is about 71.7024759449.

The spelling of 368640 in words is "three hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4096 4608 5120 5760 6144 7680 8192 9216 10240 11520 12288 15360 18432 20480 23040 24576 30720 36864 40960 46080 61440 73728 92160 122880 184320 368640