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340407040 = 2851913997
BaseRepresentation
bin10100010010100…
…011001100000000
3212201112110200011
4110102203030000
51144121011130
653440034304
711302261231
oct2422431400
9781473604
10340407040
11165172936
1296002994
13556a79ac
14332d1088
151ed4152a
hex144a3300

340407040 has 72 divisors (see below), whose sum is σ = 858357360. Its totient is φ = 128987136.

The previous prime is 340407013. The next prime is 340407043. The reversal of 340407040 is 40704043.

It is not an unprimeable number, because it can be changed into a prime (340407043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17322 + ... + 31318.

It is an arithmetic number, because the mean of its divisors is an integer number (11921630).

Almost surely, 2340407040 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 340407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429178680).

340407040 is an abundant number, since it is smaller than the sum of its proper divisors (517950320).

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

340407040 is a wasteful number, since it uses less digits than its factorization.

340407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14037 (or 14023 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 340407040 is about 18450.1230348201. The cubic root of 340407040 is about 698.2316180019.

The spelling of 340407040 in words is "three hundred forty million, four hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 608 640 760 1216 1280 1520 2432 3040 4864 6080 12160 13997 24320 27994 55988 69985 111976 139970 223952 265943 279940 447904 531886 559880 895808 1063772 1119760 1329715 1791616 2127544 2239520 2659430 3583232 4255088 4479040 5318860 8510176 8958080 10637720 17020352 17916160 21275440 34040704 42550880 68081408 85101760 170203520 340407040