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270329840 = 245112771109
BaseRepresentation
bin10000000111001…
…110011111110000
3200211200011211022
4100013032133300
51023201023330
642454035012
76461523434
oct2007163760
9624604738
10270329840
111296598a0
1276648a68
134400ccb1
1427c8c9c4
1518aecae5
hex101ce7f0

270329840 has 80 divisors (see below), whose sum is σ = 688750560. Its totient is φ = 97858560.

The previous prime is 270329837. The next prime is 270329867. The reversal of 270329840 is 48923072.

270329840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 270329840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243206 + ... + 244314.

It is an arithmetic number, because the mean of its divisors is an integer number (8609382).

Almost surely, 2270329840 is an apocalyptic number.

270329840 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 270329840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344375280).

270329840 is an abundant number, since it is smaller than the sum of its proper divisors (418420720).

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

270329840 is a wasteful number, since it uses less digits than its factorization.

270329840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 270329840 is about 16441.7103733158. The cubic root of 270329840 is about 646.5934920331.

The spelling of 270329840 in words is "two hundred seventy million, three hundred twenty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 277 440 554 880 1108 1109 1385 2216 2218 2770 3047 4432 4436 5540 5545 6094 8872 11080 11090 12188 12199 15235 17744 22160 22180 24376 24398 30470 44360 48752 48796 60940 60995 88720 97592 121880 121990 195184 243760 243980 307193 487960 614386 975920 1228772 1535965 2457544 3071930 3379123 4915088 6143860 6758246 12287720 13516492 16895615 24575440 27032984 33791230 54065968 67582460 135164920 270329840