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340145440 = 2553757457
BaseRepresentation
bin10100010001100…
…011010100100000
3212201001011211021
4110101203110200
51144034123230
653430255224
711300121445
oct2421432440
9781034737
10340145440
11165004338
1295ab7514
13556158bb
14332639cc
151ecddc7a
hex14463520

340145440 has 48 divisors (see below), whose sum is σ = 825326712. Its totient is φ = 132378624.

The previous prime is 340145431. The next prime is 340145473. The reversal of 340145440 is 44541043.

It can be written as a sum of positive squares in 4 ways, for example, as 335768976 + 4376464 = 18324^2 + 2092^2 .

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, 22809 + ... + 34648.

Almost surely, 2340145440 is an apocalyptic number.

It is an amenable number.

340145440 is an abundant number, since it is smaller than the sum of its proper divisors (485181272).

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

340145440 is a wasteful number, since it uses less digits than its factorization.

340145440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57509 (or 57501 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 340145440 is about 18443.0322886449. The cubic root of 340145440 is about 698.0527104197.

Adding to 340145440 its reverse (44541043), we get a palindrome (384686483).

It can be divided in two parts, 3401 and 45440, that added together give a square (48841 = 2212).

The spelling of 340145440 in words is "three hundred forty million, one hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 57457 114914 229828 287285 459656 574570 919312 1149140 1838624 2125909 2298280 4251818 4596560 8503636 9193120 10629545 17007272 21259090 34014544 42518180 68029088 85036360 170072720 340145440