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2134434224 = 241323503887
BaseRepresentation
bin111111100111000…
…1110000110110000
312111202022111022102
41333032032012300
513332403343344
6551444155532
7103615251206
oct17716160660
95452274272
102134434224
119a591802a
124b6998ba8
13280286240
14163691076
15c75b9e4e
hex7f38e1b0

2134434224 has 80 divisors (see below), whose sum is σ = 4661701632. Its totient is φ = 939358464.

The previous prime is 2134434173. The next prime is 2134434229. The reversal of 2134434224 is 4224344312.

It is not an unprimeable number, because it can be changed into a prime (2134434229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2405909 + ... + 2406795.

Almost surely, 22134434224 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 2134434224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330850816).

2134434224 is an abundant number, since it is smaller than the sum of its proper divisors (2527267408).

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

2134434224 is a wasteful number, since it uses less digits than its factorization.

2134434224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1428 counting only the distinct ones).

The product of its digits is 18432, while the sum is 29.

The square root of 2134434224 is about 46199.9374891352. The cubic root of 2134434224 is about 1287.5405785307.

Adding to 2134434224 its reverse (4224344312), we get a palindrome (6358778536).

The spelling of 2134434224 in words is "two billion, one hundred thirty-four million, four hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 503 598 887 1006 1196 1774 2012 2392 3548 4024 4784 6539 7096 8048 11531 11569 13078 14192 20401 23062 23138 26156 40802 46124 46276 52312 81604 92248 92552 104624 150397 163208 184496 185104 265213 300794 326416 446161 530426 601588 892322 1060852 1203176 1784644 2121704 2406352 3569288 4243408 5800093 7138576 10261703 11600186 20523406 23200372 41046812 46400744 82093624 92801488 133402139 164187248 266804278 533608556 1067217112 2134434224