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1346505150 = 23523129341
BaseRepresentation
bin101000001000010…
…0000100110111110
310110211200112211010
41100100200212332
510224201131100
6341340140050
745240050664
oct12020404676
93424615733
101346505150
11631081281
12316b37626
13185c6b713
14cab88c34
157d329750
hex504209be

1346505150 has 72 divisors (see below), whose sum is σ = 3450897432. Its totient is φ = 347448000.

The previous prime is 1346505133. The next prime is 1346505157. The reversal of 1346505150 is 515056431.

It is a super-2 number, since 2×13465051502 = 3626152237953045000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1346505157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 139480 + ... + 148820.

It is an arithmetic number, because the mean of its divisors is an integer number (47929131).

Almost surely, 21346505150 is an apocalyptic number.

1346505150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1346505150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725448716).

1346505150 is an abundant number, since it is smaller than the sum of its proper divisors (2104392282).

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

1346505150 is a wasteful number, since it uses less digits than its factorization.

1346505150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9418 (or 9382 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 1346505150 is about 36694.7564373985. The cubic root of 1346505150 is about 1104.2549115344.

The spelling of 1346505150 in words is "one billion, three hundred forty-six million, five hundred five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 186 310 465 775 930 961 1550 1922 2325 2883 4650 4805 5766 9341 9610 14415 18682 24025 28023 28830 46705 48050 56046 72075 93410 140115 144150 233525 280230 289571 467050 579142 700575 868713 1401150 1447855 1737426 2895710 4343565 7239275 8687130 8976701 14478550 17953402 21717825 26930103 43435650 44883505 53860206 89767010 134650515 224417525 269301030 448835050 673252575 1346505150