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1150340864 = 2819713331
BaseRepresentation
bin100010010010000…
…1100111100000000
32222011120101000012
41010210030330000
54323441401424
6310051444052
740335510311
oct10444147400
92864511005
101150340864
11540379132
122812b6628
1315442828a
14acac4608
156aecbb0e
hex4490cf00

1150340864 has 72 divisors (see below), whose sum is σ = 2451818880. Its totient is φ = 537062400.

The previous prime is 1150340861. The next prime is 1150340879. The reversal of 1150340864 is 4680430511.

It is a super-3 number, since 3×11503408643 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1150340864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1150340861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343679 + ... + 347009.

It is an arithmetic number, because the mean of its divisors is an integer number (34053040).

Almost surely, 21150340864 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 1150340864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225909440).

1150340864 is an abundant number, since it is smaller than the sum of its proper divisors (1301478016).

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

1150340864 is an equidigital number, since it uses as much as digits as its factorization.

1150340864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 1150340864 is about 33916.6753087622. The cubic root of 1150340864 is about 1047.7930558887.

The spelling of 1150340864 in words is "one billion, one hundred fifty million, three hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 71 76 128 142 152 256 284 304 568 608 1136 1216 1349 2272 2432 2698 3331 4544 4864 5396 6662 9088 10792 13324 18176 21584 26648 43168 53296 63289 86336 106592 126578 172672 213184 236501 253156 345344 426368 473002 506312 852736 946004 1012624 1892008 2025248 3784016 4050496 4493519 7568032 8100992 8987038 15136064 16201984 17974076 30272128 35948152 60544256 71896304 143792608 287585216 575170432 1150340864