Search a number
-
+
1340734373352 = 2332112281742151
BaseRepresentation
bin10011100000101001111…
…111101111110111101000
311202011200002021000120200
4103200221333233313220
5133431310444421402
62503531434352200
7165602435065353
oct23405177576750
94664602230520
101340734373352
11477669667860
12197a1528b660
139957a36283a
1448c6b4bb29a
1524d2011e21c
hex13829fefde8

1340734373352 has 96 divisors (see below), whose sum is σ = 3963002621760. Its totient is φ = 406104480000.

The previous prime is 1340734373339. The next prime is 1340734373369. The reversal of 1340734373352 is 2533734370431.

1340734373352 is a `hidden beast` number, since 134 + 0 + 7 + 3 + 437 + 33 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1340734373298 and 1340734373307.

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, 1435477 + ... + 2177627.

It is an arithmetic number, because the mean of its divisors is an integer number (41281277310).

Almost surely, 21340734373352 is an apocalyptic number.

1340734373352 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 1340734373352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981501310880).

1340734373352 is an abundant number, since it is smaller than the sum of its proper divisors (2622268248408).

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

1340734373352 is a wasteful number, since it uses less digits than its factorization.

1340734373352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744455 (or 744448 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 45.

The spelling of 1340734373352 in words is "one trillion, three hundred forty billion, seven hundred thirty-four million, three hundred seventy-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 2281 4562 6843 9124 13686 18248 20529 25091 27372 41058 50182 54744 75273 82116 100364 150546 164232 200728 225819 301092 451638 602184 742151 903276 1484302 1806552 2226453 2968604 4452906 5937208 6679359 8163661 8905812 13358718 16327322 17811624 24490983 26717436 32654644 48981966 53434872 65309288 73472949 97963932 146945898 195927864 293891796 587783592 1692846431 3385692862 5078539293 6771385724 10157078586 13542771448 15235617879 18621310741 20314157172 30471235758 37242621482 40628314344 55863932223 60942471516 74485242964 111727864446 121884943032 148970485928 167591796669 223455728892 335183593338 446911457784 670367186676 1340734373352