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1340603264 = 277111310463
BaseRepresentation
bin100111111100111…
…1111101110000000
310110102120200221202
41033321333232000
510221143301024
6341005440332
745135640220
oct11771775600
93412520852
101340603264
11628810090
12314b700a8
13184983290
14ca090080
157ca60bae
hex4fe7fb80

1340603264 has 128 divisors (see below), whose sum is σ = 3586222080. Its totient is φ = 482088960.

The previous prime is 1340603263. The next prime is 1340603269. The reversal of 1340603264 is 4623060431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13406032642 = 3594434222894907392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340603263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122897 + ... + 133359.

It is an arithmetic number, because the mean of its divisors is an integer number (28017360).

Almost surely, 21340603264 is an apocalyptic number.

1340603264 is a gapful number since it is divisible by the number (14) 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 1340603264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793111040).

1340603264 is an abundant number, since it is smaller than the sum of its proper divisors (2245618816).

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

1340603264 is a wasteful number, since it uses less digits than its factorization.

1340603264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10508 (or 10496 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 1340603264 is about 36614.2494665670. The cubic root of 1340603264 is about 1102.6391900955.

Adding to 1340603264 its reverse (4623060431), we get a palindrome (5963663695).

The spelling of 1340603264 in words is "one billion, three hundred forty million, six hundred three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 143 154 176 182 208 224 286 308 352 364 416 448 572 616 704 728 832 896 1001 1144 1232 1408 1456 1664 2002 2288 2464 2912 4004 4576 4928 5824 8008 9152 9856 10463 11648 16016 18304 20926 32032 41852 64064 73241 83704 115093 128128 136019 146482 167408 230186 272038 292964 334816 460372 544076 585928 669632 805651 920744 952133 1088152 1171856 1339264 1496209 1611302 1841488 1904266 2176304 2343712 2992418 3222604 3682976 3808532 4352608 4687424 5984836 6445208 7365952 7617064 8705216 9374848 10473463 11969672 12890416 14731904 15234128 17410432 20946926 23939344 25780832 30468256 41893852 47878688 51561664 60936512 83787704 95757376 103123328 121873024 167575408 191514752 335150816 670301632 1340603264