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340454145504 = 253112371974021
BaseRepresentation
bin1001111010001001010…
…01011111110111100000
31012112202211112112202110
410331010221133313200
521034222230124004
6420222533515320
733411525326454
oct4750451376740
91175684475673
10340454145504
11121427542600
1255b954a2b40
1326148ccca05
1412699b6a664
158cc8ea2589
hex4f44a5fde0

340454145504 has 288 divisors, whose sum is σ = 1014245372448. Its totient is φ = 99845222400.

The previous prime is 340454145491. The next prime is 340454145511. The reversal of 340454145504 is 405541454043.

It is a super-3 number, since 3×3404541455043 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84667014 + ... + 84671034.

It is an arithmetic number, because the mean of its divisors is an integer number (3521685321).

Almost surely, 2340454145504 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 340454145504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507122686224).

340454145504 is an abundant number, since it is smaller than the sum of its proper divisors (673791226944).

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

340454145504 is a wasteful number, since it uses less digits than its factorization.

340454145504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4290 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

Adding to 340454145504 its reverse (405541454043), we get a palindrome (745995599547).

The spelling of 340454145504 in words is "three hundred forty billion, four hundred fifty-four million, one hundred forty-five thousand, five hundred four".