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361472112 = 24331947937
BaseRepresentation
bin10101100010111…
…010000001110000
3221012011200112000
4111202322001300
51220014101422
655511334000
711646314361
oct2542720160
9835150460
10361472112
11176050391
12a1081300
1359b71b31
1436015b68
1521b02cac
hex158ba070

361472112 has 160 divisors (see below), whose sum is σ = 1116595200. Its totient is φ = 111601152.

The previous prime is 361472101. The next prime is 361472201. The reversal of 361472112 is 211274163.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2016) is a multiple of the sum of its prime divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385308 + ... + 386244.

It is an arithmetic number, because the mean of its divisors is an integer number (6978720).

Almost surely, 2361472112 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 361472112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558297600).

361472112 is an abundant number, since it is smaller than the sum of its proper divisors (755123088).

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

361472112 is a wasteful number, since it uses less digits than its factorization.

361472112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1008 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 361472112 is about 19012.4199406598. The cubic root of 361472112 is about 712.3469987260.

The spelling of 361472112 in words is "three hundred sixty-one million, four hundred seventy-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 47 48 54 57 72 76 94 108 114 141 144 152 171 188 216 228 282 304 342 376 423 432 456 513 564 684 752 846 893 912 937 1026 1128 1269 1368 1692 1786 1874 2052 2256 2538 2679 2736 2811 3384 3572 3748 4104 5076 5358 5622 6768 7144 7496 8037 8208 8433 10152 10716 11244 14288 14992 16074 16866 17803 20304 21432 22488 24111 25299 32148 33732 35606 42864 44039 44976 48222 50598 53409 64296 67464 71212 88078 96444 101196 106818 128592 132117 134928 142424 160227 176156 192888 202392 213636 264234 284848 320454 352312 385776 396351 404784 427272 480681 528468 640908 704624 792702 836741 854544 961362 1056936 1189053 1281816 1585404 1673482 1922724 2113872 2378106 2510223 2563632 3170808 3346964 3845448 4756212 5020446 6341616 6693928 7530669 7690896 9512424 10040892 13387856 15061338 19024848 20081784 22592007 30122676 40163568 45184014 60245352 90368028 120490704 180736056 361472112