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340310040 = 233571492719
BaseRepresentation
bin10100010010001…
…011100000011000
3212201100112121120
4110102023200120
51144104410130
653434005240
711301405360
oct2422134030
9781315546
10340310040
11165106a74
1295b76820
13556727b5
14332a79a0
151ed22910
hex1448b818

340310040 has 128 divisors (see below), whose sum is σ = 1175040000. Its totient is φ = 77234688.

The previous prime is 340310039. The next prime is 340310057. The reversal of 340310040 is 40013043.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 123801 + ... + 126519.

It is an arithmetic number, because the mean of its divisors is an integer number (9180000).

Almost surely, 2340310040 is an apocalyptic number.

340310040 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 340310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587520000).

340310040 is an abundant number, since it is smaller than the sum of its proper divisors (834729960).

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

340310040 is a wasteful number, since it uses less digits than its factorization.

340310040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 340310040 is about 18447.4941387713. The cubic root of 340310040 is about 698.1652906416.

Adding to 340310040 its reverse (40013043), we get a palindrome (380323083).

The spelling of 340310040 in words is "three hundred forty million, three hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 149 168 210 280 298 420 447 596 745 840 894 1043 1192 1490 1788 2086 2235 2719 2980 3129 3576 4172 4470 5215 5438 5960 6258 8157 8344 8940 10430 10876 12516 13595 15645 16314 17880 19033 20860 21752 25032 27190 31290 32628 38066 40785 41720 54380 57099 62580 65256 76132 81570 95165 108760 114198 125160 152264 163140 190330 228396 285495 326280 380660 405131 456792 570990 761320 810262 1141980 1215393 1620524 2025655 2283960 2430786 2835917 3241048 4051310 4861572 5671834 6076965 8102620 8507751 9723144 11343668 12153930 14179585 16205240 17015502 22687336 24307860 28359170 34031004 42538755 48615720 56718340 68062008 85077510 113436680 170155020 340310040