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360428340 = 223547912541
BaseRepresentation
bin10101011110111…
…011001100110100
3221010012122201210
4111132323030310
51214232201330
655433121420
711634406326
oct2536731464
9833178653
10360428340
111754a8168
12a0859270
1359897a0c
1435c23616
15219988b0
hex157bb334

360428340 has 48 divisors (see below), whose sum is σ = 1011386880. Its totient is φ = 95905920.

The previous prime is 360428329. The next prime is 360428353. The reversal of 360428340 is 43824063.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 360428298 and 360428307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22470 + ... + 35010.

It is an arithmetic number, because the mean of its divisors is an integer number (21070560).

Almost surely, 2360428340 is an apocalyptic number.

360428340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

360428340 is an abundant number, since it is smaller than the sum of its proper divisors (650958540).

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

360428340 is a wasteful number, since it uses less digits than its factorization.

360428340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13032 (or 13030 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 360428340 is about 18984.9503554789. The cubic root of 360428340 is about 711.6606897529.

The spelling of 360428340 in words is "three hundred sixty million, four hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 479 958 1437 1916 2395 2874 4790 5748 7185 9580 12541 14370 25082 28740 37623 50164 62705 75246 125410 150492 188115 250820 376230 752460 6007139 12014278 18021417 24028556 30035695 36042834 60071390 72085668 90107085 120142780 180214170 360428340