[go: up one dir, main page]

Search a number
-
+
1036067344 = 241326192
BaseRepresentation
bin111101110000010…
…010001000010000
32200012112200012121
4331300102020100
54110213123334
6250450304024
734450266334
oct7560221020
92605480177
101036067344
11491918804
1224ab88014
13136857a00
149b8597c4
1560e57db4
hex3dc12210

1036067344 has 45 divisors (see below), whose sum is σ = 2177189613. Its totient is φ = 477412416.

The previous prime is 1036067299. The next prime is 1036067401. The reversal of 1036067344 is 4437606301.

The square root of 1036067344 is 32188.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 153264400 + 882802944 = 12380^2 + 29712^2 .

It is a super-3 number, since 3×10360673443 (a number of 28 digits) contains 333 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 1673467 + ... + 1674085.

Almost surely, 21036067344 is an apocalyptic number.

1036067344 is the 32188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1036067344

1036067344 is an abundant number, since it is smaller than the sum of its proper divisors (1141122269).

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

1036067344 is an frugal number, since it uses more digits than its factorization.

1036067344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The cubic root of 1036067344 is about 1011.8807370899.

The spelling of 1036067344 in words is "one billion, thirty-six million, sixty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 619 676 1238 1352 2476 2704 4952 8047 9904 16094 32188 64376 104611 128752 209222 383161 418444 766322 836888 1532644 1673776 3065288 4981093 6130576 9962186 19924372 39848744 64754209 79697488 129508418 259016836 518033672 1036067344