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1071367344 = 243310932269
BaseRepresentation
bin111111110110111…
…100010010110000
32202122222002201000
4333312330102300
54143232223334
6254151042000
735356320645
oct7766742260
92678862630
101071367344
114aa839163
1225a970300
13140c67198
14a2407dcc
15640cc299
hex3fdbc4b0

1071367344 has 80 divisors (see below), whose sum is σ = 3079391200. Its totient is φ = 356638464.

The previous prime is 1071367337. The next prime is 1071367357. The reversal of 1071367344 is 4437631701.

It is a super-2 number, since 2×10713673442 = 2295655971579228672, which contains 22 as substring.

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 = 1071367299 and 1071367308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471042 + ... + 473310.

It is an arithmetic number, because the mean of its divisors is an integer number (38492390).

Almost surely, 21071367344 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 1071367344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539695600).

1071367344 is an abundant number, since it is smaller than the sum of its proper divisors (2008023856).

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

1071367344 is a wasteful number, since it uses less digits than its factorization.

1071367344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 1071367344 is about 32731.7482576168. The cubic root of 1071367344 is about 1023.2446160420.

The spelling of 1071367344 in words is "one billion, seventy-one million, three hundred sixty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1093 2186 2269 3279 4372 4538 6558 6807 8744 9076 9837 13116 13614 17488 18152 19674 20421 26232 27228 29511 36304 39348 40842 52464 54456 59022 61263 78696 81684 108912 118044 122526 157392 163368 236088 245052 326736 472176 490104 980208 2480017 4960034 7440051 9920068 14880102 19840136 22320153 29760204 39680272 44640306 59520408 66960459 89280612 119040816 133920918 178561224 267841836 357122448 535683672 1071367344