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361620630 = 232575411061
BaseRepresentation
bin10101100011011…
…110010010010110
3221012110020020200
4111203132102112
51220033330010
655514441330
711650503360
oct2543362226
9835406220
10361620630
11176141a28
12a1133246
1359bc4607
1436053d30
1521b31cc0
hex158de496

361620630 has 96 divisors (see below), whose sum is σ = 1077530688. Its totient is φ = 82425600.

The previous prime is 361620629. The next prime is 361620659. The reversal of 361620630 is 36026163.

361620630 is a `hidden beast` number, since 3 + 6 + 1 + 6 + 20 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 361620594 and 361620603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340300 + ... + 341360.

It is an arithmetic number, because the mean of its divisors is an integer number (11224278).

Almost surely, 2361620630 is an apocalyptic number.

361620630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 361620630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538765344).

361620630 is an abundant number, since it is smaller than the sum of its proper divisors (715910058).

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

361620630 is a wasteful number, since it uses less digits than its factorization.

361620630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 361620630 is about 19016.3253548103. The cubic root of 361620630 is about 712.4445460073. Note that the first 3 decimals are identical.

Adding to 361620630 its reverse (36026163), we get a palindrome (397646793).

The spelling of 361620630 in words is "three hundred sixty-one million, six hundred twenty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 541 630 1061 1082 1623 2122 2705 3183 3246 3787 4869 5305 5410 6366 7427 7574 8115 9549 9738 10610 11361 14854 15915 16230 18935 19098 22281 22722 24345 31830 34083 37135 37870 44562 47745 48690 56805 66843 68166 74270 95490 111405 113610 133686 170415 222810 334215 340830 574001 668430 1148002 1722003 2870005 3444006 4018007 5166009 5740010 8036014 8610015 10332018 12054021 17220030 20090035 24108042 25830045 36162063 40180070 51660090 60270105 72324126 120540210 180810315 361620630