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1150340292 = 2234174572
BaseRepresentation
bin100010010010000…
…1100110011000100
32222011120100020000
41010210030303010
54323441342132
6310051441300
740335505533
oct10444146304
92864510200
101150340292
11540378762
122812b6230
13154427c3a
14acac431a
156aecb87c
hex4490ccc4

1150340292 has 90 divisors (see below), whose sum is σ = 3191094522. Its totient is φ = 360101376.

The previous prime is 1150340291. The next prime is 1150340311. The reversal of 1150340292 is 2920430511.

It can be written as a sum of positive squares in 3 ways, for example, as 760435776 + 389904516 = 27576^2 + 19746^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1150340291) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 2516928 + ... + 2517384.

Almost surely, 21150340292 is an apocalyptic number.

1150340292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1150340292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595547261).

1150340292 is an abundant number, since it is smaller than the sum of its proper divisors (2040754230).

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

1150340292 is an equidigital number, since it uses as much as digits as its factorization.

1150340292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1150340292 is about 33916.6668763309. Note that the first 3 decimals coincide. The cubic root of 1150340292 is about 1047.7928822191.

The spelling of 1150340292 in words is "one billion, one hundred fifty million, three hundred forty thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 457 459 612 914 918 1371 1377 1828 1836 2742 2754 4113 5484 5508 7769 8226 12339 15538 16452 23307 24678 31076 37017 46614 49356 69921 74034 93228 139842 148068 208849 209763 279684 417698 419526 626547 629289 835396 839052 1253094 1258578 1879641 2506188 2517156 3550433 3759282 5638923 7100866 7518564 10651299 11277846 14201732 16916769 21302598 22555692 31953897 33833538 42605196 63907794 67667076 95861691 127815588 191723382 287585073 383446764 575170146 1150340292