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1344212032 = 26174797271
BaseRepresentation
bin101000000011111…
…0000110001000000
310110200101001020211
41100013300301000
510223104241112
6341215043504
745211420342
oct12007606100
93420331224
101344212032
1162a855439
12316210594
13185647a47
14ca74d292
157d0250a7
hex501f0c40

1344212032 has 112 divisors (see below), whose sum is σ = 2924909568. Its totient is φ = 610467840.

The previous prime is 1344212021. The next prime is 1344212033. The reversal of 1344212032 is 2302124431.

It is a junction number, because it is equal to n+sod(n) for n = 1344211994 and 1344212012.

It is not an unprimeable number, because it can be changed into a prime (1344212033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4960057 + ... + 4960327.

It is an arithmetic number, because the mean of its divisors is an integer number (26115264).

Almost surely, 21344212032 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 1344212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462454784).

1344212032 is an abundant number, since it is smaller than the sum of its proper divisors (1580697536).

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

1344212032 is a wasteful number, since it uses less digits than its factorization.

1344212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1344212032 is about 36663.4972690822. The cubic root of 1344212032 is about 1103.6277012520.

Adding to 1344212032 its reverse (2302124431), we get a palindrome (3646336463).

The spelling of 1344212032 in words is "one billion, three hundred forty-four million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 94 97 136 188 194 271 272 376 388 542 544 752 776 799 1084 1088 1504 1552 1598 1649 2168 3008 3104 3196 3298 4336 4559 4607 6208 6392 6596 8672 9118 9214 12737 12784 13192 17344 18236 18428 25474 25568 26287 26384 36472 36856 50948 51136 52574 52768 72944 73712 77503 101896 105148 105536 145888 147424 155006 203792 210296 216529 291776 294848 310012 407584 420592 433058 446879 620024 815168 841184 866116 893758 1235489 1240048 1682368 1732232 1787516 2470978 2480096 3464464 3575032 4941956 4960192 6928928 7150064 9883912 13857856 14300128 19767824 21003313 28600256 39535648 42006626 79071296 84013252 168026504 336053008 672106016 1344212032