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1452466340 = 2251325721737
BaseRepresentation
bin101011010010010…
…1110000010100100
310202020001221020122
41112210232002210
510433312410330
6400043221112
750664521513
oct12644560244
93666057218
101452466340
11685974506
12346517798
131a1bbb650
14dac8c67a
15877aa5e5
hex5692e0a4

1452466340 has 48 divisors (see below), whose sum is σ = 3297741552. Its totient is φ = 534183936.

The previous prime is 1452466331. The next prime is 1452466409. The reversal of 1452466340 is 436642541.

It can be written as a sum of positive squares in 8 ways, for example, as 62220544 + 1390245796 = 7888^2 + 37286^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1452466340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55952 + ... + 77688.

It is an arithmetic number, because the mean of its divisors is an integer number (68702949).

Almost surely, 21452466340 is an apocalyptic number.

1452466340 is a gapful number since it is divisible by the number (10) 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 1452466340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648870776).

1452466340 is an abundant number, since it is smaller than the sum of its proper divisors (1845275212).

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

1452466340 is a wasteful number, since it uses less digits than its factorization.

1452466340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22016 (or 22014 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 1452466340 is about 38111.2364008307. The cubic root of 1452466340 is about 1132.4925634677.

The spelling of 1452466340 in words is "one billion, four hundred fifty-two million, four hundred sixty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 257 260 514 1028 1285 2570 3341 5140 6682 13364 16705 21737 33410 43474 66820 86948 108685 217370 282581 434740 565162 1130324 1412905 2825810 5586409 5651620 11172818 22345636 27932045 55864090 72623317 111728180 145246634 290493268 363116585 726233170 1452466340