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3542240430 = 233518677027
BaseRepresentation
bin1101001100100010…
…0100110010101110
3100010212100110101000
43103020210302232
524223303143210
61343254301130
7153531355401
oct32310446256
910125313330
103542240430
111558558733
1282a3577a6
13445b38b71
14258635d38
1515aea2ac0
hexd3224cae

3542240430 has 64 divisors (see below), whose sum is σ = 9452378880. Its totient is φ = 943957152.

The previous prime is 3542240423. The next prime is 3542240441. The reversal of 3542240430 is 340422453.

3542240430 is a `hidden beast` number, since 3 + 5 + 4 + 224 + 0 + 430 = 666.

It is a super-3 number, since 3×35422404303 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3542240394 and 3542240403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500577 + ... + 507603.

It is an arithmetic number, because the mean of its divisors is an integer number (147693420).

Almost surely, 23542240430 is an apocalyptic number.

3542240430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3542240430 is an abundant number, since it is smaller than the sum of its proper divisors (5910138450).

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

3542240430 is a wasteful number, since it uses less digits than its factorization.

3542240430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8910 (or 8904 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 3542240430 is about 59516.7239521800. The cubic root of 3542240430 is about 1524.3780217318.

Adding to 3542240430 its reverse (340422453), we get a palindrome (3882662883).

The spelling of 3542240430 in words is "three billion, five hundred forty-two million, two hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1867 3734 5601 7027 9335 11202 14054 16803 18670 21081 28005 33606 35135 42162 50409 56010 63243 70270 84015 100818 105405 126486 168030 189729 210810 252045 316215 379458 504090 632430 948645 1897290 13119409 26238818 39358227 65597045 78716454 118074681 131194090 196791135 236149362 354224043 393582270 590373405 708448086 1180746810 1771120215 3542240430