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1344155796 = 223417277881
BaseRepresentation
bin101000000011110…
…0011000010010100
310110200021012010000
41100013203002110
510223100441141
6341213531300
745211064364
oct12007430224
93420235100
101344155796
1162a817165
123161a3b30
13185628279
14ca7369a4
157d0135b6
hex501e3094

1344155796 has 120 divisors (see below), whose sum is σ = 3738258216. Its totient is φ = 419696640.

The previous prime is 1344155783. The next prime is 1344155807. The reversal of 1344155796 is 6975514431.

1344155796 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 1 + 557 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45562500 + 1298593296 = 6750^2 + 36036^2 .

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1525276 + ... + 1526156.

Almost surely, 21344155796 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 1344155796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869129108).

1344155796 is an abundant number, since it is smaller than the sum of its proper divisors (2394102420).

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

1344155796 is a wasteful number, since it uses less digits than its factorization.

1344155796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1180 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 1344155796 is about 36662.7303402243. The cubic root of 1344155796 is about 1103.6123107056.

The spelling of 1344155796 in words is "one billion, three hundred forty-four million, one hundred fifty-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 277 306 324 459 554 612 831 881 918 1108 1377 1662 1762 1836 2493 2643 2754 3324 3524 4709 4986 5286 5508 7479 7929 9418 9972 10572 14127 14958 14977 15858 18836 22437 23787 28254 29916 29954 31716 42381 44874 44931 47574 56508 59908 71361 84762 89748 89862 95148 127143 134793 142722 169524 179724 244037 254286 269586 285444 381429 404379 488074 508572 539172 732111 762858 808758 976148 1213137 1464222 1525716 1617516 2196333 2426274 2928444 4148629 4392666 4852548 6588999 8297258 8785332 12445887 13177998 16594516 19766997 24891774 26355996 37337661 39533994 49783548 74675322 79067988 112012983 149350644 224025966 336038949 448051932 672077898 1344155796