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340131504 = 243311791277
BaseRepresentation
bin10100010001011…
…111111010110000
3212201000110201010
4110101133322300
51144033202004
653430110520
711300033016
oct2421377260
9781013633
10340131504
11164aa4919
1295aab440
135560c45b
143325c8b6
151ecd9a89
hex1445feb0

340131504 has 80 divisors (see below), whose sum is σ = 912798720. Its totient is φ = 109021440.

The previous prime is 340131503. The next prime is 340131587. The reversal of 340131504 is 405131043.

It is not an unprimeable number, because it can be changed into a prime (340131503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265714 + ... + 266990.

It is an arithmetic number, because the mean of its divisors is an integer number (11409984).

Almost surely, 2340131504 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 340131504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456399360).

340131504 is an abundant number, since it is smaller than the sum of its proper divisors (572667216).

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

340131504 is a wasteful number, since it uses less digits than its factorization.

340131504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 340131504 is about 18442.6544727162. The cubic root of 340131504 is about 698.0431770512.

Adding to 340131504 its reverse (405131043), we get a palindrome (745262547).

The spelling of 340131504 in words is "three hundred forty million, one hundred thirty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 179 186 248 358 372 496 537 716 744 1074 1277 1432 1488 2148 2554 2864 3831 4296 5108 5549 7662 8592 10216 11098 15324 16647 20432 22196 30648 33294 39587 44392 61296 66588 79174 88784 118761 133176 158348 228583 237522 266352 316696 457166 475044 633392 685749 914332 950088 1371498 1828664 1900176 2742996 3657328 5485992 7086073 10971984 14172146 21258219 28344292 42516438 56688584 85032876 113377168 170065752 340131504