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3424130676 = 2232196774717
BaseRepresentation
bin1100110000011000…
…0001011001110100
322211122002212020200
43030012001121310
524003034140201
61323435000500
7150565426161
oct31406013164
98748085220
103424130676
1114a791806a
127b6899130
13427524435
14246a8d068
15150922386
hexcc181674

3424130676 has 72 divisors (see below), whose sum is σ = 9247099680. Its totient is φ = 1065151296.

The previous prime is 3424130663. The next prime is 3424130683. The reversal of 3424130676 is 6760314243.

It is a happy number.

3424130676 is a `hidden beast` number, since 342 + 4 + 1 + 306 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3424130676.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8470 + ... + 83186.

It is an arithmetic number, because the mean of its divisors is an integer number (128431940).

Almost surely, 23424130676 is an apocalyptic number.

3424130676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3424130676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623549840).

3424130676 is an abundant number, since it is smaller than the sum of its proper divisors (5822969004).

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

3424130676 is a wasteful number, since it uses less digits than its factorization.

3424130676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74813 (or 74808 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3424130676 is about 58516.0719460902. The cubic root of 3424130676 is about 1507.2435827002.

The spelling of 3424130676 in words is "three billion, four hundred twenty-four million, one hundred thirty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 67 76 114 134 171 201 228 268 342 402 603 684 804 1206 1273 2412 2546 3819 5092 7638 11457 15276 22914 45828 74717 149434 224151 298868 448302 672453 896604 1344906 1419623 2689812 2839246 4258869 5006039 5678492 8517738 10012078 12776607 15018117 17035476 20024156 25553214 30036234 45054351 51106428 60072468 90108702 95114741 180217404 190229482 285344223 380458964 570688446 856032669 1141376892 1712065338 3424130676