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340401440 = 25519910691
BaseRepresentation
bin10100010010100…
…001110100100000
3212201112011222202
4110102201310200
51144120321230
653435552332
711302236011
oct2422416440
9781464882
10340401440
11165169705
1295bbb6a8
13556a5292
14332cd008
151ed3ea45
hex144a1d20

340401440 has 48 divisors (see below), whose sum is σ = 808315200. Its totient is φ = 135463680.

The previous prime is 340401419. The next prime is 340401461. The reversal of 340401440 is 44104043.

It is an interprime number because it is at equal distance from previous prime (340401419) and next prime (340401461).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26495 + ... + 37185.

It is an arithmetic number, because the mean of its divisors is an integer number (16839900).

Almost surely, 2340401440 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 340401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404157600).

340401440 is an abundant number, since it is smaller than the sum of its proper divisors (467913760).

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

340401440 is a wasteful number, since it uses less digits than its factorization.

340401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10905 (or 10897 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 340401440 is about 18449.9712736904. The cubic root of 340401440 is about 698.2277891362.

Adding to 340401440 its reverse (44104043), we get a palindrome (384505483).

The spelling of 340401440 in words is "three hundred forty million, four hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 199 398 796 995 1592 1990 3184 3980 6368 7960 10691 15920 21382 31840 42764 53455 85528 106910 171056 213820 342112 427640 855280 1710560 2127509 4255018 8510036 10637545 17020072 21275090 34040144 42550180 68080288 85100360 170200720 340401440