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2348998432 = 251133120161
BaseRepresentation
bin1000110000000010…
…1101111100100000
320001201001111001221
42030000231330200
514302320422212
61025031104424
7112132104634
oct21400557440
96051044057
102348998432
11aa5a48320
12556812114
132b586c701
14183d84dc4
15db34e807
hex8c02df20

2348998432 has 48 divisors (see below), whose sum is σ = 5060500704. Its totient is φ = 1064448000.

The previous prime is 2348998429. The next prime is 2348998469.

2348998432 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2348998432.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106432 + ... + 126592.

It is an arithmetic number, because the mean of its divisors is an integer number (105427098).

Almost surely, 22348998432 is an apocalyptic number.

2348998432 is a gapful number since it is divisible by the number (22) 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 2348998432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530250352).

2348998432 is an abundant number, since it is smaller than the sum of its proper divisors (2711502272).

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

2348998432 is a wasteful number, since it uses less digits than its factorization.

2348998432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20513 (or 20505 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 52.

The square root of 2348998432 is about 48466.4670880806. The cubic root of 2348998432 is about 1329.3139907276.

The spelling of 2348998432 in words is "two billion, three hundred forty-eight million, nine hundred ninety-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 331 352 662 1324 2648 3641 5296 7282 10592 14564 20161 29128 40322 58256 80644 116512 161288 221771 322576 443542 645152 887084 1774168 3548336 6673291 7096672 13346582 26693164 53386328 73406201 106772656 146812402 213545312 293624804 587249608 1174499216 2348998432