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3676469148 = 2234113373061
BaseRepresentation
bin1101101100100010…
…0111011110011100
3100111012220222120000
43123020213132130
530012134003043
61404451254300
7160051320642
oct33310473634
910435828500
103676469148
1116172a8760
128672aa390
134678a5341
1426c3b7192
15167b692d3
hexdb22779c

3676469148 has 120 divisors (see below), whose sum is σ = 10519292784. Its totient is φ = 1110412800.

The previous prime is 3676469129. The next prime is 3676469257. The reversal of 3676469148 is 8419646763.

3676469148 is a `hidden beast` number, since 36 + 7 + 6 + 469 + 148 = 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 = 3676469094 and 3676469103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1199538 + ... + 1202598.

Almost surely, 23676469148 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 3676469148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5259646392).

3676469148 is an abundant number, since it is smaller than the sum of its proper divisors (6842823636).

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

3676469148 is a wasteful number, since it uses less digits than its factorization.

3676469148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3425 (or 3414 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 3676469148 is about 60633.8943825976. The cubic root of 3676469148 is about 1543.3945959579.

The spelling of 3676469148 in words is "three billion, six hundred seventy-six million, four hundred sixty-nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 337 396 594 674 891 1011 1188 1348 1782 2022 3033 3061 3564 3707 4044 6066 6122 7414 9099 9183 11121 12132 12244 14828 18198 18366 22242 27297 27549 33363 33671 36396 36732 44484 54594 55098 66726 67342 82647 100089 101013 109188 110196 133452 134684 165294 200178 202026 247941 300267 303039 330588 400356 404052 495882 600534 606078 909117 991764 1031557 1201068 1212156 1818234 2063114 2727351 3094671 3636468 4126228 5454702 6189342 9284013 10909404 11347127 12378684 18568026 22694254 27852039 34041381 37136052 45388508 55704078 68082762 83556117 102124143 111408156 136165524 167112234 204248286 306372429 334224468 408496572 612744858 919117287 1225489716 1838234574 3676469148