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2014355430 = 232573793881
BaseRepresentation
bin111100000010000…
…1001111111100110
312012101100212011200
41320010021333212
513111133333210
6531514343330
7100626511233
oct17004117746
95171325150
102014355430
1194406205a
1248272ab46
132614324b9
1415175478a
15bbc9b0c0
hex78109fe6

2014355430 has 96 divisors (see below), whose sum is σ = 5377656960. Its totient is φ = 522961920.

The previous prime is 2014355407. The next prime is 2014355459. The reversal of 2014355430 is 345534102.

2014355430 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2014355394 and 2014355403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517090 + ... + 520970.

It is an arithmetic number, because the mean of its divisors is an integer number (56017260).

Almost surely, 22014355430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014355430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688828480).

2014355430 is an abundant number, since it is smaller than the sum of its proper divisors (3363301530).

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

2014355430 is a wasteful number, since it uses less digits than its factorization.

2014355430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4046 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2014355430 is about 44881.5711623379. The cubic root of 2014355430 is about 1262.9283176330.

Adding to 2014355430 its reverse (345534102), we get a palindrome (2359889532).

The spelling of 2014355430 in words is "two billion, fourteen million, three hundred fifty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 79 90 146 158 219 237 365 395 438 474 657 711 730 790 1095 1185 1314 1422 2190 2370 3285 3555 3881 5767 6570 7110 7762 11534 11643 17301 19405 23286 28835 34602 34929 38810 51903 57670 58215 69858 86505 103806 116430 173010 174645 259515 283313 306599 349290 519030 566626 613198 849939 919797 1416565 1532995 1699878 1839594 2549817 2759391 2833130 3065990 4249695 4598985 5099634 5518782 8499390 9197970 12749085 13796955 22381727 25498170 27593910 44763454 67145181 111908635 134290362 201435543 223817270 335725905 402871086 671451810 1007177715 2014355430