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2734457472 = 27323764153
BaseRepresentation
bin1010001011111100…
…1000001010000000
321001120100211110200
42202333020022000
521100010114342
61131200525200
7124522335135
oct24277101200
97046324420
102734457472
11118359140a
12643920800
1334768c596
141bd24258c
151100de94c
hexa2fc8280

2734457472 has 96 divisors (see below), whose sum is σ = 8081479380. Its totient is φ = 886837248.

The previous prime is 2734457423. The next prime is 2734457501. The reversal of 2734457472 is 2747544372.

2734457472 is a `hidden beast` number, since 2 + 7 + 3 + 4 + 4 + 574 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1931075136 + 803382336 = 43944^2 + 28344^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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, 10548 + ... + 74700.

Almost surely, 22734457472 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 2734457472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040739690).

2734457472 is an abundant number, since it is smaller than the sum of its proper divisors (5347021908).

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

2734457472 is a wasteful number, since it uses less digits than its factorization.

2734457472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64210 (or 64195 counting only the distinct ones).

The product of its digits is 1317120, while the sum is 45.

The square root of 2734457472 is about 52292.0402355846. The cubic root of 2734457472 is about 1398.3752362055.

The spelling of 2734457472 in words is "two billion, seven hundred thirty-four million, four hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 288 296 333 384 444 576 592 666 888 1152 1184 1332 1776 2368 2664 3552 4736 5328 7104 10656 14208 21312 42624 64153 128306 192459 256612 384918 513224 577377 769836 1026448 1154754 1539672 2052896 2309508 2373661 3079344 4105792 4619016 4747322 6158688 7120983 8211584 9238032 9494644 12317376 14241966 18476064 18989288 21362949 24634752 28483932 36952128 37978576 42725898 56967864 73904256 75957152 85451796 113935728 151914304 170903592 227871456 303828608 341807184 455742912 683614368 911485824 1367228736 2734457472