Search a number
-
+
1345434435324 = 223371779675179
BaseRepresentation
bin10011100101000010001…
…001000011111011111100
311202121210122020220112000
4103211002021003323330
5134020422203412244
62510030053142300
7166130056002060
oct23450211037374
94677718226460
101345434435324
114796607329a1
1219890732a990
1399b490158b5
14491957c3aa0
1524ee7a7a169
hex13942243efc

1345434435324 has 48 divisors (see below), whose sum is σ = 3986472403200. Its totient is φ = 384409838448.

The previous prime is 1345434435313. The next prime is 1345434435361. The reversal of 1345434435324 is 4235344345431.

1345434435324 is a `hidden beast` number, since 1 + 3 + 4 + 543 + 44 + 35 + 32 + 4 = 666.

It is a super-2 number, since 2×13454344353242 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1345434435324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 889836834 + ... + 889838345.

It is an arithmetic number, because the mean of its divisors is an integer number (83051508400).

Almost surely, 21345434435324 is an apocalyptic number.

1345434435324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1345434435324 is an abundant number, since it is smaller than the sum of its proper divisors (2641037967876).

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

1345434435324 is a wasteful number, since it uses less digits than its factorization.

1345434435324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779675199 (or 1779675191 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 45.

The spelling of 1345434435324 in words is "one trillion, three hundred forty-five billion, four hundred thirty-four million, four hundred thirty-five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1779675179 3559350358 5339025537 7118700716 10678051074 12457726253 16017076611 21356102148 24915452506 32034153222 37373178759 48051229833 49830905012 64068306444 74746357518 96102459666 112119536277 149492715036 192204919332 224239072554 336358608831 448478145108 672717217662 1345434435324