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361665340 = 225236112889
BaseRepresentation
bin10101100011101…
…001001100111100
3221012112111120121
4111203221030330
51220041242330
655515424324
711651050621
oct2543511474
9835474517
10361665340
11176172583
12a11550a4
1359c0ba7a
1436066348
1521b4017a
hex158e933c

361665340 has 48 divisors (see below), whose sum is σ = 805573440. Its totient is φ = 136097280.

The previous prime is 361665319. The next prime is 361665347. The reversal of 361665340 is 43566163.

It is a junction number, because it is equal to n+sod(n) for n = 361665296 and 361665305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361665347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21616 + ... + 34504.

It is an arithmetic number, because the mean of its divisors is an integer number (16782780).

Almost surely, 2361665340 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 361665340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402786720).

361665340 is an abundant number, since it is smaller than the sum of its proper divisors (443908100).

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

361665340 is a wasteful number, since it uses less digits than its factorization.

361665340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12982 (or 12980 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 361665340 is about 19017.5008873406. The cubic root of 361665340 is about 712.4739065031.

The spelling of 361665340 in words is "three hundred sixty-one million, six hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 61 92 115 122 230 244 305 460 610 1220 1403 2806 5612 7015 12889 14030 25778 28060 51556 64445 128890 257780 296447 592894 786229 1185788 1482235 1572458 2964470 3144916 3931145 5928940 7862290 15724580 18083267 36166534 72333068 90416335 180832670 361665340