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1077334344 = 23341662553
BaseRepresentation
bin100000000110110…
…1101000101001000
32210002012020220000
41000031231011020
54201244144334
6254523003000
735461122312
oct10015550510
92702166800
101077334344
11503144269
12260969460
13142276158
14a311c7b2
15648aa299
hex4036d148

1077334344 has 40 divisors (see below), whose sum is σ = 3017535510. Its totient is φ = 359111232.

The previous prime is 1077334303. The next prime is 1077334381. The reversal of 1077334344 is 4434337701.

It can be written as a sum of positive squares in only one way, i.e., 1055600100 + 21734244 = 32490^2 + 4662^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1077334299 and 1077334308.

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 9 ways as a sum of consecutive naturals, for example, 830629 + ... + 831924.

Almost surely, 21077334344 is an apocalyptic number.

It is an amenable number.

1077334344 is an abundant number, since it is smaller than the sum of its proper divisors (1940201166).

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

1077334344 is a wasteful number, since it uses less digits than its factorization.

1077334344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662571 (or 1662558 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 1077334344 is about 32822.7717293954. The cubic root of 1077334344 is about 1025.1407600463.

The spelling of 1077334344 in words is "one billion, seventy-seven million, three hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1662553 3325106 4987659 6650212 9975318 13300424 14962977 19950636 29925954 39901272 44888931 59851908 89777862 119703816 134666793 179555724 269333586 359111448 538667172 1077334344