Search a number
-
+
345414442040 = 23516575211443
BaseRepresentation
bin1010000011011000100…
…11100001110000111000
31020000120112012201101222
411001230103201300320
521124402044121130
6422403050131212
733645456212423
oct5015423416070
91200515181358
10345414442040
111235424a1828
1256b3a720b08
1326759869a15
1412a0a8549ba
158eb96b4ce5
hex506c4e1c38

345414442040 has 32 divisors (see below), whose sum is σ = 777651673680. Its totient is φ = 138082367232.

The previous prime is 345414442033. The next prime is 345414442069. The reversal of 345414442040 is 40244414543.

It is a super-2 number, since 2×3454144420402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 2539442 + ... + 2672001.

Almost surely, 2345414442040 is an apocalyptic number.

It is an amenable number.

345414442040 is an abundant number, since it is smaller than the sum of its proper divisors (432237231640).

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

345414442040 is a wasteful number, since it uses less digits than its factorization.

345414442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5213111 (or 5213107 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

Adding to 345414442040 its reverse (40244414543), we get a palindrome (385658856583).

The spelling of 345414442040 in words is "three hundred forty-five billion, four hundred fourteen million, four hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1657 3314 6628 8285 13256 16570 33140 66280 5211443 10422886 20845772 26057215 41691544 52114430 104228860 208457720 8635361051 17270722102 34541444204 43176805255 69082888408 86353610510 172707221020 345414442040