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1340465004 = 2233471811459
BaseRepresentation
bin100111111100101…
…1101111101101100
310110102022200022000
41033321131331230
510221124340004
6341002452300
745134523144
oct11771357554
93412280260
101340465004
1162872621a
12314b04090
13184935378
14ca055924
157ca34c39
hex4fe5df6c

1340465004 has 96 divisors (see below), whose sum is σ = 3571276800. Its totient is φ = 434600640.

The previous prime is 1340464981. The next prime is 1340465039. The reversal of 1340465004 is 4005640431.

1340465004 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 4 + 650 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 918027 + ... + 919485.

It is an arithmetic number, because the mean of its divisors is an integer number (37200800).

Almost surely, 21340465004 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 1340465004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785638400).

1340465004 is an abundant number, since it is smaller than the sum of its proper divisors (2230811796).

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

1340465004 is a wasteful number, since it uses less digits than its factorization.

1340465004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1340465004 is about 36612.3613551489. The cubic root of 1340465004 is about 1102.6012827495.

The spelling of 1340465004 in words is "one billion, three hundred forty million, four hundred sixty-five thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 181 188 282 362 423 543 564 724 846 1086 1269 1459 1629 1692 2172 2538 2918 3258 4377 4887 5076 5836 6516 8507 8754 9774 13131 17014 17508 19548 25521 26262 34028 39393 51042 52524 68573 76563 78786 102084 137146 153126 157572 205719 229689 264079 274292 306252 411438 459378 528158 617157 792237 822876 918756 1056316 1234314 1584474 1851471 2376711 2468628 3168948 3702942 4753422 7130133 7405884 9506844 12411713 14260266 24823426 28520532 37235139 49646852 74470278 111705417 148940556 223410834 335116251 446821668 670232502 1340465004