Search a number
-
+
2734404232 = 23734991997
BaseRepresentation
bin1010001011111011…
…1011001010001000
321001120021010102211
42202332323022020
521100001413412
61131155434504
7124522024000
oct24276731210
97046233384
102734404232
11118355540a
126438b5a34
13347671291
141bd22b000
151100cdca7
hexa2fbb288

2734404232 has 64 divisors (see below), whose sum is σ = 5994000000. Its totient is φ = 1168953408.

The previous prime is 2734404223. The next prime is 2734404251. The reversal of 2734404232 is 2324044372.

2734404232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2734404194 and 2734404203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1368258 + ... + 1370254.

It is an arithmetic number, because the mean of its divisors is an integer number (93656250).

Almost surely, 22734404232 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 2734404232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997000000).

2734404232 is an abundant number, since it is smaller than the sum of its proper divisors (3259595768).

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

2734404232 is a wasteful number, since it uses less digits than its factorization.

2734404232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 31.

The square root of 2734404232 is about 52291.5311690144. The cubic root of 2734404232 is about 1398.3661606720.

The spelling of 2734404232 in words is "two billion, seven hundred thirty-four million, four hundred four thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 499 686 998 1372 1996 1997 2744 3493 3992 3994 6986 7988 13972 13979 15976 24451 27944 27958 48902 55916 97804 97853 111832 171157 195608 195706 342314 391412 684628 684971 782824 996503 1369256 1369942 1993006 2739884 3986012 5479768 6975521 7972024 13951042 27902084 48828647 55804168 97657294 195314588 341800529 390629176 683601058 1367202116 2734404232