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1344335136 = 25329216651
BaseRepresentation
bin101000000100000…
…1110110100100000
310110200121022010020
41100020032310200
510223122211021
6341221433440
745212442264
oct12010166440
93420538106
101344335136
1162a929981
1231626b880
1318568baa1
14ca7820a4
157d04b7c6
hex5020ed20

1344335136 has 72 divisors (see below), whose sum is σ = 3654980784. Its totient is φ = 432633600.

The previous prime is 1344335093. The next prime is 1344335143. The reversal of 1344335136 is 6315334431.

It is a junction number, because it is equal to n+sod(n) for n = 1344335097 and 1344335106.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72411 + ... + 89061.

It is an arithmetic number, because the mean of its divisors is an integer number (50763622).

Almost surely, 21344335136 is an apocalyptic number.

1344335136 is a gapful number since it is divisible by the number (16) 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 1344335136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827490392).

1344335136 is an abundant number, since it is smaller than the sum of its proper divisors (2310645648).

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

1344335136 is a wasteful number, since it uses less digits than its factorization.

1344335136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16722 (or 16685 counting only the distinct ones).

The product of its digits is 38880, while the sum is 33.

The square root of 1344335136 is about 36665.1760666712. The cubic root of 1344335136 is about 1103.6613905892.

Adding to 1344335136 its reverse (6315334431), we get a palindrome (7659669567).

The spelling of 1344335136 in words is "one billion, three hundred forty-four million, three hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 841 928 1392 1682 2523 2784 3364 5046 6728 10092 13456 16651 20184 26912 33302 40368 49953 66604 80736 99906 133208 199812 266416 399624 482879 532832 799248 965758 1448637 1598496 1931516 2897274 3863032 5794548 7726064 11589096 14003491 15452128 23178192 28006982 42010473 46356384 56013964 84020946 112027928 168041892 224055856 336083784 448111712 672167568 1344335136