Search a number
-
+
1048234420 = 225374730139
BaseRepresentation
bin111110011110101…
…100100110110100
32201001102211022001
4332132230212310
54121322000140
6252003145044
734655563012
oct7636544664
92631384261
101048234420
11498779042
12253075184
13139227a6c
149d3058b2
156205ce9a
hex3e7ac9b4

1048234420 has 48 divisors (see below), whose sum is σ = 2308965120. Its totient is φ = 399268224.

The previous prime is 1048234417. The next prime is 1048234441. The reversal of 1048234420 is 244328401.

It is a happy number.

It is a congruent number.

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, 19711 + ... + 49849.

It is an arithmetic number, because the mean of its divisors is an integer number (48103440).

Almost surely, 21048234420 is an apocalyptic number.

1048234420 is a gapful number since it is divisible by the number (10) 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 1048234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154482560).

1048234420 is an abundant number, since it is smaller than the sum of its proper divisors (1260730700).

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

1048234420 is a wasteful number, since it uses less digits than its factorization.

1048234420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30232 (or 30230 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 1048234420 is about 32376.4485390229. The cubic root of 1048234420 is about 1015.8263454318.

The spelling of 1048234420 in words is "one billion, forty-eight million, two hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 47 74 94 148 185 188 235 370 470 740 940 1739 3478 6956 8695 17390 30139 34780 60278 120556 150695 301390 602780 1115143 1416533 2230286 2833066 4460572 5575715 5666132 7082665 11151430 14165330 22302860 28330660 52411721 104823442 209646884 262058605 524117210 1048234420