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245944320 = 212354003
BaseRepresentation
bin11101010100011…
…01000000000000
3122010210021011220
432222031000000
51000430204240
640223235040
76044330556
oct1652150000
9563707156
10245944320
11116913676
126a448a80
133bc526ab
1424941bd6
15168d25d0
hexea8d000

245944320 has 104 divisors (see below), whose sum is σ = 787122336. Its totient is φ = 65568768.

The previous prime is 245944319. The next prime is 245944351. The reversal of 245944320 is 23449542.

245944320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59439 + ... + 63441.

It is an arithmetic number, because the mean of its divisors is an integer number (7568484).

Almost surely, 2245944320 is an apocalyptic number.

245944320 is a gapful number since it is divisible by the number (20) 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 245944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393561168).

245944320 is an abundant number, since it is smaller than the sum of its proper divisors (541178016).

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

245944320 is an equidigital number, since it uses as much as digits as its factorization.

245944320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 245944320 is about 15682.6120273378. The cubic root of 245944320 is about 626.5353781603.

The spelling of 245944320 in words is "two hundred forty-five million, nine hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4003 4096 5120 6144 7680 8006 10240 12009 12288 15360 16012 20015 20480 24018 30720 32024 40030 48036 60045 61440 64048 80060 96072 120090 128096 160120 192144 240180 256192 320240 384288 480360 512384 640480 768576 960720 1024768 1280960 1537152 1921440 2049536 2561920 3074304 3842880 4099072 5123840 6148608 7685760 8198144 10247680 12297216 15371520 16396288 20495360 24594432 30743040 40990720 49188864 61486080 81981440 122972160 245944320