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340141120 = 26511711361
BaseRepresentation
bin10100010001100…
…010010001000000
3212201000221220021
4110101202101000
51144034003440
653430223224
711300103034
oct2421422100
9781027807
10340141120
11165001070
1295ab4b14
1355613947
14332621c4
151ecdc84a
hex14462440

340141120 has 112 divisors (see below), whose sum is σ = 896697216. Its totient is φ = 121856000.

The previous prime is 340141103. The next prime is 340141129. The reversal of 340141120 is 21141043.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 340141094 and 340141103.

It is not an unprimeable number, because it can be changed into a prime (340141129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249240 + ... + 250600.

Almost surely, 2340141120 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 340141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448348608).

340141120 is an abundant number, since it is smaller than the sum of its proper divisors (556556096).

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

340141120 is a wasteful number, since it uses less digits than its factorization.

340141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 340141120 is about 18442.9151708725. The cubic root of 340141120 is about 698.0497552127.

Adding to 340141120 its reverse (21141043), we get a palindrome (361282163).

It can be divided in two parts, 3401 and 41120, that added together give a square (44521 = 2112).

The spelling of 340141120 in words is "three hundred forty million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 71 80 88 110 142 160 176 220 284 320 352 355 440 568 704 710 781 880 1136 1361 1420 1562 1760 2272 2722 2840 3124 3520 3905 4544 5444 5680 6248 6805 7810 10888 11360 12496 13610 14971 15620 21776 22720 24992 27220 29942 31240 43552 49984 54440 59884 62480 74855 87104 96631 108880 119768 124960 149710 193262 217760 239536 249920 299420 386524 435520 479072 483155 598840 773048 958144 966310 1062941 1197680 1546096 1932620 2125882 2395360 3092192 3865240 4251764 4790720 5314705 6184384 7730480 8503528 10629410 15460960 17007056 21258820 30921920 34014112 42517640 68028224 85035280 170070560 340141120