Search a number
-
+
2343496890 = 235727141179
BaseRepresentation
bin1000101110101110…
…1110110010111010
320001022200222101010
42023223232302322
514244413400030
61024313134350
7112034252310
oct21353566272
96038628333
102343496890
11aa292a999
125549ba3b6
132b4694567
141833520b0
15dab146b0
hex8baeecba

2343496890 has 64 divisors (see below), whose sum is σ = 6451752960. Its totient is φ = 533666880.

The previous prime is 2343496877. The next prime is 2343496907. The reversal of 2343496890 is 986943432.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36321 + ... + 77499.

It is an arithmetic number, because the mean of its divisors is an integer number (100808640).

Almost surely, 22343496890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2343496890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225876480).

2343496890 is an abundant number, since it is smaller than the sum of its proper divisors (4108256070).

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

2343496890 is a wasteful number, since it uses less digits than its factorization.

2343496890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41467.

The product of its (nonzero) digits is 1119744, while the sum is 48.

The square root of 2343496890 is about 48409.6776481728. The cubic root of 2343496890 is about 1328.2753929550.

The spelling of 2343496890 in words is "two billion, three hundred forty-three million, four hundred ninety-six thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 271 542 813 1355 1626 1897 2710 3794 4065 5691 8130 9485 11382 18970 28455 41179 56910 82358 123537 205895 247074 288253 411790 576506 617685 864759 1235370 1441265 1729518 2882530 4323795 8647590 11159509 22319018 33478527 55797545 66957054 78116563 111595090 156233126 167392635 234349689 334785270 390582815 468699378 781165630 1171748445 2343496890