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361398444 = 22311617
BaseRepresentation
bin10101100010101…
…000000010101100
3221012000221110120
4111202220002230
51220004222234
655510004540
711645556531
oct2542500254
9835027416
10361398444
11176000000
12a1046750
1359b47444
1435dd6d88
1521adb049
hex158a80ac

361398444 has 84 divisors (see below), whose sum is σ = 982153368. Its totient is φ = 103072640.

The previous prime is 361398431. The next prime is 361398451. The reversal of 361398444 is 444893163.

361398444 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3613984442 = 261217670651242272, which contains 22 as substring.

361398444 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 361398396 and 361398405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 21258724 + ... + 21258740.

It is an arithmetic number, because the mean of its divisors is an integer number (11692302).

Almost surely, 2361398444 is an apocalyptic number.

361398444 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361398444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491076684).

361398444 is an abundant number, since it is smaller than the sum of its proper divisors (620754924).

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

361398444 is an frugal number, since it uses more digits than its factorization.

361398444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 33 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 361398444 is about 19010.4824767811. The cubic root of 361398444 is about 712.2986033429.

The spelling of 361398444 in words is "three hundred sixty-one million, three hundred ninety-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 121 132 187 204 242 363 374 484 561 726 748 1122 1331 1452 2057 2244 2662 3993 4114 5324 6171 7986 8228 12342 14641 15972 22627 24684 29282 43923 45254 58564 67881 87846 90508 135762 161051 175692 248897 271524 322102 483153 497794 644204 746691 966306 995588 1493382 1771561 1932612 2737867 2986764 3543122 5314683 5475734 7086244 8213601 10629366 10951468 16427202 21258732 30116537 32854404 60233074 90349611 120466148 180699222 361398444