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361306036 = 2271337139193
BaseRepresentation
bin10101100010010…
…001011110110100
3221011212020201001
4111202101132310
51214443243121
655504013044
711645023240
oct2542213664
9834766631
10361306036
11175a47633
12a1001184
1359b14370
1435db1420
1521abd991
hex158917b4

361306036 has 96 divisors (see below), whose sum is σ = 809150720. Its totient is φ = 137355264.

The previous prime is 361305979. The next prime is 361306037. The reversal of 361306036 is 630603163.

361306036 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 361305995 and 361306013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361306037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1871956 + ... + 1872148.

Almost surely, 2361306036 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 361306036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404575360).

361306036 is an abundant number, since it is smaller than the sum of its proper divisors (447844684).

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

361306036 is a wasteful number, since it uses less digits than its factorization.

361306036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

The square root of 361306036 is about 19008.0518728248. The cubic root of 361306036 is about 712.2378876228.

Adding to 361306036 its reverse (630603163), we get a palindrome (991909199).

The spelling of 361306036 in words is "three hundred sixty-one million, three hundred six thousand, thirty-six".

Divisors: 1 2 4 7 13 14 26 28 37 52 74 91 139 148 182 193 259 278 364 386 481 518 556 772 962 973 1036 1351 1807 1924 1946 2509 2702 3367 3614 3892 5018 5143 5404 6734 7141 7228 10036 10286 12649 13468 14282 17563 20572 25298 26827 28564 35126 36001 49987 50596 53654 66859 70252 72002 92833 99974 107308 133718 144004 185666 187789 199948 267436 348751 371332 375578 468013 649831 697502 751156 936026 992599 1299662 1395004 1872052 1985198 2441257 2599324 3970396 4882514 6948193 9765028 12903787 13896386 25807574 27792772 51615148 90326509 180653018 361306036