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3432242430 = 233541310049
BaseRepresentation
bin1100110010010011…
…1101110011111110
322212012100222111000
43030210331303332
524012123224210
61324324511130
7151024402461
oct31444756376
98765328430
103432242430
1115014585a1
127b954b4a6
134291046a6
14247ba12d8
151514c5ac0
hexcc93dcfe

3432242430 has 64 divisors (see below), whose sum is σ = 9375912000. Its totient is φ = 892938240.

The previous prime is 3432242419. The next prime is 3432242449. The reversal of 3432242430 is 342422343.

3432242430 is a `hidden beast` number, since 3 + 4 + 3 + 224 + 2 + 430 = 666.

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 = 3432242394 and 3432242403.

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, 143955 + ... + 166094.

It is an arithmetic number, because the mean of its divisors is an integer number (146498625).

Almost surely, 23432242430 is an apocalyptic number.

3432242430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3432242430 is an abundant number, since it is smaller than the sum of its proper divisors (5943669570).

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

3432242430 is a wasteful number, since it uses less digits than its factorization.

3432242430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310106 (or 310100 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3432242430 is about 58585.3431329031. The cubic root of 3432242430 is about 1508.4328623788.

Adding to 3432242430 its reverse (342422343), we get a palindrome (3774664773).

The spelling of 3432242430 in words is "three billion, four hundred thirty-two million, two hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 615 738 1107 1230 1845 2214 3690 5535 11070 310049 620098 930147 1550245 1860294 2790441 3100490 4650735 5580882 8371323 9301470 12712009 13952205 16742646 25424018 27904410 38136027 41856615 63560045 76272054 83713230 114408081 127120090 190680135 228816162 343224243 381360270 572040405 686448486 1144080810 1716121215 3432242430