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2374208064 = 26338871549
BaseRepresentation
bin1000110110000011…
…1000101001000000
320010110111021012000
42031200320221000
514330244124224
61031331304000
7112556302254
oct21540705100
96113437160
102374208064
1110091a6728
1256314b000
132bab58157
14187468264
15dd67e0c9
hex8d838a40

2374208064 has 112 divisors (see below), whose sum is σ = 6992112000. Its totient is φ = 790000128.

The previous prime is 2374208003. The next prime is 2374208069. The reversal of 2374208064 is 4608024732.

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

It is not an unprimeable number, because it can be changed into a prime (2374208069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1531962 + ... + 1533510.

Almost surely, 22374208064 is an apocalyptic number.

2374208064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2374208064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496056000).

2374208064 is an abundant number, since it is smaller than the sum of its proper divisors (4617903936).

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

2374208064 is a wasteful number, since it uses less digits than its factorization.

2374208064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2374208064 is about 48725.8459546882. The cubic root of 2374208064 is about 1334.0525129047.

The spelling of 2374208064 in words is "two billion, three hundred seventy-four million, two hundred eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 887 1549 1728 1774 2661 3098 3548 4647 5322 6196 7096 7983 9294 10644 12392 13941 14192 15966 18588 21288 23949 24784 27882 28384 31932 37176 41823 42576 47898 49568 55764 56768 63864 74352 83646 85152 95796 99136 111528 127728 148704 167292 170304 191592 223056 255456 297408 334584 383184 446112 510912 669168 766368 892224 1338336 1373963 1532736 2676672 2747926 4121889 5495852 8243778 10991704 12365667 16487556 21983408 24731334 32975112 37097001 43966816 49462668 65950224 74194002 87933632 98925336 131900448 148388004 197850672 263800896 296776008 395701344 593552016 791402688 1187104032 2374208064