Search a number
-
+
3054365832 = 2337533111103
BaseRepresentation
bin1011011000001101…
…1110110010001000
321212212022212020110
42312003132302020
522223404201312
61223025354320
7135455452440
oct26603366210
97785285213
103054365832
111328123291
12712a989a0
13398a3ab7b
1420d919120
1512d23243c
hexb60dec88

3054365832 has 128 divisors (see below), whose sum is σ = 8928092160. Its totient is φ = 852683520.

The previous prime is 3054365819. The next prime is 3054365849. The reversal of 3054365832 is 2385634503.

It is an alternating number because its digits alternate between odd and even.

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, 2768593 + ... + 2769695.

It is an arithmetic number, because the mean of its divisors is an integer number (69750720).

Almost surely, 23054365832 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 3054365832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464046080).

3054365832 is an abundant number, since it is smaller than the sum of its proper divisors (5873726328).

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

3054365832 is a wasteful number, since it uses less digits than its factorization.

3054365832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The square root of 3054365832 is about 55266.3173370544. The cubic root of 3054365832 is about 1450.9095889443.

The spelling of 3054365832 in words is "three billion, fifty-four million, three hundred sixty-five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 311 318 371 424 622 636 742 933 1103 1113 1244 1272 1484 1866 2177 2206 2226 2488 2968 3309 3732 4354 4412 4452 6531 6618 7464 7721 8708 8824 8904 13062 13236 15442 16483 17416 23163 26124 26472 30884 32966 46326 49449 52248 58459 61768 65932 92652 98898 115381 116918 131864 175377 185304 197796 230762 233836 343033 346143 350754 395592 409213 461524 467672 686066 692286 701508 818426 923048 1029099 1227639 1372132 1384572 1403016 1636852 2058198 2401231 2455278 2744264 2769144 3273704 4116396 4802462 4910556 7203693 8232792 9604924 9821112 14407386 18180749 19209848 28814772 36361498 54542247 57629544 72722996 109084494 127265243 145445992 218168988 254530486 381795729 436337976 509060972 763591458 1018121944 1527182916 3054365832