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365268240 = 24325507317
BaseRepresentation
bin10101110001011…
…000110100010000
3221110022112211100
4111301120310100
51222002040430
6100124544400
712023504661
oct2561306420
9843275740
10365268240
11178203487
12a23b2100
135a8a096c
1436723368
1522102960
hex15c58d10

365268240 has 60 divisors (see below), whose sum is σ = 1226694924. Its totient is φ = 97404672.

The previous prime is 365268229. The next prime is 365268251. The reversal of 365268240 is 42862563.

It is an interprime number because it is at equal distance from previous prime (365268229) and next prime (365268251).

It can be written as a sum of positive squares in 2 ways, for example, as 108243216 + 257025024 = 10404^2 + 16032^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 365268195 and 365268204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252939 + ... + 254378.

Almost surely, 2365268240 is an apocalyptic number.

365268240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

365268240 is an abundant number, since it is smaller than the sum of its proper divisors (861426684).

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

365268240 is a wasteful number, since it uses less digits than its factorization.

365268240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507336 (or 507327 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 365268240 is about 19111.9920468799. The cubic root of 365268240 is about 714.8319751227.

The spelling of 365268240 in words is "three hundred sixty-five million, two hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 507317 1014634 1521951 2029268 2536585 3043902 4058536 4565853 5073170 6087804 7609755 8117072 9131706 10146340 12175608 15219510 18263412 20292680 22829265 24351216 30439020 36526824 40585360 45658530 60878040 73053648 91317060 121756080 182634120 365268240