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340351872 = 2737127997
BaseRepresentation
bin10100010010010…
…101101110000000
3212201102122222220
4110102111232000
51144112224442
653434531040
711301641340
oct2422255600
9781378886
10340351872
11165135443
1295b96a80
1355688853
14332b8d20
151ed2eeec
hex14495b80

340351872 has 128 divisors (see below), whose sum is σ = 1042391040. Its totient is φ = 96380928.

The previous prime is 340351867. The next prime is 340351901. The reversal of 340351872 is 278153043.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340878 + ... + 341874.

It is an arithmetic number, because the mean of its divisors is an integer number (8143680).

Almost surely, 2340351872 is an apocalyptic number.

340351872 is a gapful number since it is divisible by the number (32) 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 340351872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521195520).

340351872 is an abundant number, since it is smaller than the sum of its proper divisors (702039168).

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

340351872 is a wasteful number, since it uses less digits than its factorization.

340351872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 340351872 is about 18448.6279164603. The cubic root of 340351872 is about 698.1938963741.

The spelling of 340351872 in words is "three hundred forty million, three hundred fifty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 127 128 168 192 224 254 336 381 384 448 508 672 762 889 896 997 1016 1344 1524 1778 1994 2032 2667 2688 2991 3048 3556 3988 4064 5334 5982 6096 6979 7112 7976 8128 10668 11964 12192 13958 14224 15952 16256 20937 21336 23928 24384 27916 28448 31904 41874 42672 47856 48768 55832 56896 63808 83748 85344 95712 111664 113792 126619 127616 167496 170688 191424 223328 253238 334992 341376 379857 382848 446656 506476 669984 759714 886333 893312 1012952 1339968 1519428 1772666 2025904 2658999 2679936 3038856 3545332 4051808 5317998 6077712 7090664 8103616 10635996 12155424 14181328 16207232 21271992 24310848 28362656 42543984 48621696 56725312 85087968 113450624 170175936 340351872