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3683429000 = 235359149419
BaseRepresentation
bin1101101110001100…
…1010101010001000
3100111201000120200022
43123203022222020
530020424212000
61405300400012
7160164426026
oct33343125210
910451016608
103683429000
1116202217a9
128696a6008
134691711b4
1426d2a9716
15168591585
hexdb8caa88

3683429000 has 128 divisors (see below), whose sum is σ = 8845200000. Its totient is φ = 1435244800.

The previous prime is 3683428999. The next prime is 3683429003. The reversal of 3683429000 is 9243863.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3683429003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8790791 + ... + 8791209.

It is an arithmetic number, because the mean of its divisors is an integer number (69103125).

Almost surely, 23683429000 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 3683429000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422600000).

3683429000 is an abundant number, since it is smaller than the sum of its proper divisors (5161771000).

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

3683429000 is a wasteful number, since it uses less digits than its factorization.

3683429000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 3683429000 is about 60691.2596672700. The cubic root of 3683429000 is about 1544.3679054288.

The spelling of 3683429000 in words is "three billion, six hundred eighty-three million, four hundred twenty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 149 200 236 250 295 298 419 472 500 590 596 745 838 1000 1180 1192 1475 1490 1676 2095 2360 2950 2980 3352 3725 4190 5900 5960 7375 7450 8380 8791 10475 11800 14750 14900 16760 17582 18625 20950 24721 29500 29800 35164 37250 41900 43955 49442 52375 59000 62431 70328 74500 83800 87910 98884 104750 123605 124862 149000 175820 197768 209500 219775 247210 249724 312155 351640 419000 439550 494420 499448 618025 624310 879100 988840 1098875 1236050 1248620 1560775 1758200 2197750 2472100 2497240 3090125 3121550 3683429 4395500 4944200 6180250 6243100 7366858 7803875 8791000 12360500 12486200 14733716 15607750 18417145 24721000 29467432 31215500 36834290 62431000 73668580 92085725 147337160 184171450 368342900 460428625 736685800 920857250 1841714500 3683429000