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1235430240 = 253511233983
BaseRepresentation
bin100100110100011…
…0010101101100000
310012002200100200120
41021220302231200
510012232231430
6322331320240
742420661302
oct11150625540
93162610616
101235430240
11584406030
122a58b0080
13168c4b015
14ba113972
15736d8610
hex49a32b60

1235430240 has 96 divisors (see below), whose sum is σ = 4245405696. Its totient is φ = 299496960.

The previous prime is 1235430233. The next prime is 1235430241. The reversal of 1235430240 is 420345321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1235430240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1235430241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111712 + ... + 122271.

It is an arithmetic number, because the mean of its divisors is an integer number (44222976).

Almost surely, 21235430240 is an apocalyptic number.

1235430240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1235430240 is an abundant number, since it is smaller than the sum of its proper divisors (3009975456).

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

1235430240 is a wasteful number, since it uses less digits than its factorization.

1235430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234012 (or 234004 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1235430240 is about 35148.6875999659. The cubic root of 1235430240 is about 1073.0156984397.

Adding to 1235430240 its reverse (420345321), we get a palindrome (1655775561).

The spelling of 1235430240 in words is "one billion, two hundred thirty-five million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 233983 467966 701949 935932 1169915 1403898 1871864 2339830 2573813 2807796 3509745 3743728 4679660 5147626 5615592 7019490 7487456 7721439 9359320 10295252 11231184 12869065 14038980 15442878 18718640 20590504 22462368 25738130 28077960 30885756 37437280 38607195 41181008 51476260 56155920 61771512 77214390 82362016 102952520 112311840 123543024 154428780 205905040 247086048 308857560 411810080 617715120 1235430240