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1340507952 = 243273142899
BaseRepresentation
bin100111111100110…
…1000011100110000
310110102101212012200
41033321220130300
510221132223302
6341003423200
745135062310
oct11771503460
93412355180
101340507952
11628755513
12314b24b00
1318494ba94
14ca067440
157ca4281c
hex4fe68730

1340507952 has 120 divisors (see below), whose sum is σ = 4425907200. Its totient is φ = 370638720.

The previous prime is 1340507947. The next prime is 1340508019. The reversal of 1340507952 is 2597050431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9799 + ... + 52697.

It is an arithmetic number, because the mean of its divisors is an integer number (36882560).

Almost surely, 21340507952 is an apocalyptic number.

1340507952 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 1340507952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212953600).

1340507952 is an abundant number, since it is smaller than the sum of its proper divisors (3085399248).

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

1340507952 is a wasteful number, since it uses less digits than its factorization.

1340507952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42951 (or 42942 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 1340507952 is about 36612.9478736690. The cubic root of 1340507952 is about 1102.6130582687.

The spelling of 1340507952 in words is "one billion, three hundred forty million, five hundred seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 1008 1116 1302 1488 1736 1953 2232 2604 3472 3906 4464 5208 7812 10416 15624 31248 42899 85798 128697 171596 257394 300293 343192 386091 514788 600586 686384 772182 900879 1029576 1201172 1329869 1544364 1801758 2059152 2402344 2659738 2702637 3088728 3603516 3989607 4804688 5319476 5405274 6177456 7207032 7979214 9309083 10638952 10810548 11968821 14414064 15958428 18618166 21277904 21621096 23937642 27927249 31916856 37236332 43242192 47875284 55854498 63833712 74472664 83781747 95750568 111708996 148945328 167563494 191501136 223417992 335126988 446835984 670253976 1340507952