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361266340 = 225294871279
BaseRepresentation
bin10101100010000…
…111110010100100
3221011210020020211
4111202013302210
51214441010330
655503105204
711644466431
oct2542076244
9834706224
10361266340
11175a1a826
12a0ba2204
1359acc286
1435da0b88
1521ab1d2a
hex15887ca4

361266340 has 48 divisors (see below), whose sum is σ = 787046400. Its totient is φ = 139128192.

The previous prime is 361266319. The next prime is 361266341. The reversal of 361266340 is 43662163.

361266340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (361266341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281821 + ... + 283099.

It is an arithmetic number, because the mean of its divisors is an integer number (16396800).

Almost surely, 2361266340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361266340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393523200).

361266340 is an abundant number, since it is smaller than the sum of its proper divisors (425780060).

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

361266340 is a wasteful number, since it uses less digits than its factorization.

361266340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 361266340 is about 19007.0076550729. The cubic root of 361266340 is about 712.2118025981.

The spelling of 361266340 in words is "three hundred sixty-one million, two hundred sixty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 487 580 974 1279 1948 2435 2558 4870 5116 6395 9740 12790 14123 25580 28246 37091 56492 70615 74182 141230 148364 185455 282460 370910 622873 741820 1245746 2491492 3114365 6228730 12457460 18063317 36126634 72253268 90316585 180633170 361266340