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3305550984 = 23323471031237
BaseRepresentation
bin1100010100000110…
…1011010010001000
322112100222101111020
43011001223102020
523232210112414
61304001232440
7144625501611
oct30501532210
98470871436
103305550984
11144699641a
12783032720
13408aa6b38
14235022c08
151452ec7a9
hexc506b488

3305550984 has 128 divisors (see below), whose sum is σ = 8899338240. Its totient is φ = 1020678912.

The previous prime is 3305550979. The next prime is 3305551001. The reversal of 3305550984 is 4890555033.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 2671614 + ... + 2672850.

It is an arithmetic number, because the mean of its divisors is an integer number (69526080).

Almost surely, 23305550984 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 3305550984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449669120).

3305550984 is an abundant number, since it is smaller than the sum of its proper divisors (5593787256).

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

3305550984 is a wasteful number, since it uses less digits than its factorization.

3305550984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The square root of 3305550984 is about 57493.9212786882. The cubic root of 3305550984 is about 1489.6398667186.

The spelling of 3305550984 in words is "three billion, three hundred five million, five hundred fifty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 47 69 92 94 103 138 141 184 188 206 276 282 309 376 412 552 564 618 824 1081 1128 1236 1237 2162 2369 2472 2474 3243 3711 4324 4738 4841 4948 6486 7107 7422 8648 9476 9682 9896 12972 14214 14523 14844 18952 19364 25944 28428 28451 29046 29688 38728 56856 56902 58092 58139 85353 111343 113804 116184 116278 127411 170706 174417 222686 227608 232556 254822 334029 341412 348834 382233 445372 465112 509644 668058 682824 697668 764466 890744 1019288 1336116 1337197 1395336 1528932 2672232 2674394 2930453 3057864 4011591 5348788 5860906 5988317 8023182 8791359 10697576 11721812 11976634 16046364 17582718 17964951 23443624 23953268 32092728 35165436 35929902 47906536 70330872 71859804 137731291 143719608 275462582 413193873 550925164 826387746 1101850328 1652775492 3305550984