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3052376064 = 21232312671
BaseRepresentation
bin1011010111101111…
…1001000000000000
321212201120202210100
42311323321000000
522222402013224
61222515002400
7135432524403
oct26573710000
97781522710
103052376064
111326a94351
12712299400
133984c22aa
1420d55bd3a
1512ce8cac9
hexb5ef9000

3052376064 has 156 divisors (see below), whose sum is σ = 9104722432. Its totient is φ = 984268800.

The previous prime is 3052376059. The next prime is 3052376071. The reversal of 3052376064 is 4606732503.

3052376064 is a `hidden beast` number, since 3 + 0 + 523 + 76 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1141449 + ... + 1144119.

Almost surely, 23052376064 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 3052376064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4552361216).

3052376064 is an abundant number, since it is smaller than the sum of its proper divisors (6052346368).

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

3052376064 is a wasteful number, since it uses less digits than its factorization.

3052376064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3052376064 is about 55248.3127706177. The cubic root of 3052376064 is about 1450.5944552675.

The spelling of 3052376064 in words is "three billion, fifty-two million, three hundred seventy-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1024 1116 1152 1488 1536 1984 2048 2232 2304 2671 2976 3072 3968 4096 4464 4608 5342 5952 6144 7936 8013 8928 9216 10684 11904 12288 15872 16026 17856 18432 21368 23808 24039 31744 32052 35712 36864 42736 47616 48078 63488 64104 71424 82801 85472 95232 96156 126976 128208 142848 165602 170944 190464 192312 248403 256416 285696 331204 341888 380928 384624 496806 512832 571392 662408 683776 745209 769248 993612 1025664 1142784 1324816 1367552 1490418 1538496 1987224 2051328 2649632 2735104 2980836 3076992 3974448 4102656 5299264 5470208 5961672 6153984 7948896 8205312 10598528 10940416 11923344 12307968 15897792 16410624 21197056 23846688 24615936 31795584 32821248 42394112 47693376 49231872 63591168 84788224 95386752 98463744 127182336 169576448 190773504 254364672 339152896 381547008 508729344 763094016 1017458688 1526188032 3052376064