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340131840 = 21735173
BaseRepresentation
bin10100010001100…
…000000000000000
3212201000111011120
4110101200000000
51144033204330
653430112240
711300034006
oct2421400000
9781014146
10340131840
11164aa50a4
1295aab680
135560c659
143325ca76
151ecd9c10
hex14460000

340131840 has 144 divisors (see below), whose sum is σ = 1094709168. Its totient is φ = 90177536.

The previous prime is 340131823. The next prime is 340131877. The reversal of 340131840 is 48131043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 340131840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1965994 + ... + 1966166.

It is an arithmetic number, because the mean of its divisors is an integer number (7602147).

Almost surely, 2340131840 is an apocalyptic number.

340131840 is a gapful number since it is divisible by the number (30) 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 340131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547354584).

340131840 is an abundant number, since it is smaller than the sum of its proper divisors (754577328).

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

340131840 is an frugal number, since it uses more digits than its factorization.

340131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 340131840 is about 18442.6635820317. The cubic root of 340131840 is about 698.0434069059.

Adding to 340131840 its reverse (48131043), we get a palindrome (388262883).

It can be divided in two parts, 34013 and 1840, that added together give a palindrome (35853).

The spelling of 340131840 in words is "three hundred forty million, one hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 173 192 240 256 320 346 384 480 512 519 640 692 768 865 960 1024 1038 1280 1384 1536 1730 1920 2048 2076 2560 2595 2768 3072 3460 3840 4096 4152 5120 5190 5536 6144 6920 7680 8192 8304 10240 10380 11072 12288 13840 15360 16384 16608 20480 20760 22144 24576 27680 30720 32768 33216 40960 41520 44288 49152 55360 61440 65536 66432 81920 83040 88576 98304 110720 122880 131072 132864 163840 166080 177152 196608 221440 245760 265728 327680 332160 354304 393216 442880 491520 531456 655360 664320 708608 885760 983040 1062912 1328640 1417216 1771520 1966080 2125824 2657280 2834432 3543040 4251648 5314560 5668864 7086080 8503296 10629120 11337728 14172160 17006592 21258240 22675456 28344320 34013184 42516480 56688640 68026368 85032960 113377280 170065920 340131840