Search a number
-
+
2734857900 = 2232523038731
BaseRepresentation
bin1010001100000010…
…1001111010101100
321001121010011202100
42203000221322230
521100110423100
61131213255100
7124525623435
oct24300517254
97047104670
102734857900
111183835245
12643a94490
1334779c918
141bd30848c
1511016d400
hexa3029eac

2734857900 has 54 divisors (see below), whose sum is σ = 8572262972. Its totient is φ = 729295200.

The previous prime is 2734857883. The next prime is 2734857907. The reversal of 2734857900 is 97584372.

2734857900 is a `hidden beast` number, since 2 + 73 + 4 + 8 + 579 + 0 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2734857907) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1518466 + ... + 1520265.

Almost surely, 22734857900 is an apocalyptic number.

2734857900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2734857900 is an abundant number, since it is smaller than the sum of its proper divisors (5837405072).

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

2734857900 is a wasteful number, since it uses less digits than its factorization.

2734857900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038751 (or 3038741 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2734857900 is about 52295.8688616988. The cubic root of 2734857900 is about 1398.4434912158.

The spelling of 2734857900 in words is "two billion, seven hundred thirty-four million, eight hundred fifty-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 3038731 6077462 9116193 12154924 15193655 18232386 27348579 30387310 36464772 45580965 54697158 60774620 75968275 91161930 109394316 136742895 151936550 182323860 227904825 273485790 303873100 455809650 546971580 683714475 911619300 1367428950 2734857900