Search a number
-
+
340741780479360 = 27335131516834849
BaseRepresentation
bin100110101111001110010000…
…0110010010001110110000000
31122200110121002112201020221000
41031132130200302101312000
5324130203131300314420
63204410340222332000
7131525531652554061
oct11536344062216600
91580417075636830
10340741780479360
1199630860a62777
1232272058a2a000
1311818a73035940
14601ddc1058568
15295d7205b9690
hex135e720c91d80

340741780479360 has 256 divisors, whose sum is σ = 1299624099480000. Its totient is φ = 83874899755008.

The previous prime is 340741780479323. The next prime is 340741780479371. The reversal of 340741780479360 is 63974087147043.

340741780479360 is a `hidden beast` number, since 3 + 4 + 0 + 74 + 17 + 80 + 479 + 3 + 6 + 0 = 666.

It is a super-3 number, since 3×3407417804793603 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 758192785 + ... + 758642064.

Almost surely, 2340741780479360 is an apocalyptic number.

340741780479360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340741780479360 is an abundant number, since it is smaller than the sum of its proper divisors (958882319000640).

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

340741780479360 is a wasteful number, since it uses less digits than its factorization.

340741780479360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516834890 (or 1516834872 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 340741780479360 in words is "three hundred forty trillion, seven hundred forty-one billion, seven hundred eighty million, four hundred seventy-nine thousand, three hundred sixty".