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3429694548 = 223473148781
BaseRepresentation
bin1100110001101100…
…1111110001010100
322212000120112110000
43030123033301110
524011000211143
61324154131300
7150663631320
oct31433176124
98760515400
103429694548
1114aaa78305
127b8720b30
13428721a77
142476da980
15151170bd3
hexcc6cfc54

3429694548 has 120 divisors (see below), whose sum is σ = 10577498624. Its totient is φ = 948283200.

The previous prime is 3429694537. The next prime is 3429694571. The reversal of 3429694548 is 8454969243.

3429694548 is a `hidden beast` number, since 3 + 4 + 2 + 9 + 6 + 94 + 548 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3429694494 and 3429694503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45918 + ... + 94698.

Almost surely, 23429694548 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3429694548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5288749312).

3429694548 is an abundant number, since it is smaller than the sum of its proper divisors (7147804076).

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

3429694548 is a wasteful number, since it uses less digits than its factorization.

3429694548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48835 (or 48824 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 3429694548 is about 58563.5940495458. The cubic root of 3429694548 is about 1508.0595145924.

The spelling of 3429694548 in words is "three billion, four hundred twenty-nine million, six hundred ninety-four thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 108 124 126 162 186 189 217 252 279 324 372 378 434 558 567 651 756 837 868 1116 1134 1302 1674 1953 2268 2511 2604 3348 3906 5022 5859 7812 10044 11718 17577 23436 35154 48781 70308 97562 146343 195124 292686 341467 439029 585372 682934 878058 1024401 1317087 1365868 1512211 1756116 2048802 2634174 3024422 3073203 3951261 4097604 4536633 5268348 6048844 6146406 7902522 9073266 9219609 10585477 12292812 13609899 15805044 18146532 18439218 21170954 27219798 27658827 31756431 36878436 40829697 42341908 54439596 55317654 63512862 81659394 95269293 110635308 122489091 127025724 163318788 190538586 244978182 285807879 381077172 489956364 571615758 857423637 1143231516 1714847274 3429694548