Search a number
-
+
1434113400 = 2335219912011
BaseRepresentation
bin101010101111010…
…1101010101111000
310200221112111202010
41111132231111320
510414113112100
6354150005520
750352522426
oct12536552570
93627474663
101434113400
11676579695
123403468a0
1319b163b15
14d8672116
1585d82750
hex557ad578

1434113400 has 96 divisors (see below), whose sum is σ = 4468464000. Its totient is φ = 380476800.

The previous prime is 1434113399. The next prime is 1434113419. The reversal of 1434113400 is 43114341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113395 + ... + 125405.

It is an arithmetic number, because the mean of its divisors is an integer number (46546500).

Almost surely, 21434113400 is an apocalyptic number.

1434113400 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 1434113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234232000).

1434113400 is an abundant number, since it is smaller than the sum of its proper divisors (3034350600).

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

1434113400 is a wasteful number, since it uses less digits than its factorization.

1434113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12229 (or 12220 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1434113400 is about 37869.6897267458. The cubic root of 1434113400 is about 1127.7023823742.

Adding to 1434113400 its reverse (43114341), we get a palindrome (1477227741).

The spelling of 1434113400 in words is "one billion, four hundred thirty-four million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 199 200 300 398 597 600 796 995 1194 1592 1990 2388 2985 3980 4776 4975 5970 7960 9950 11940 12011 14925 19900 23880 24022 29850 36033 39800 48044 59700 60055 72066 96088 119400 120110 144132 180165 240220 288264 300275 360330 480440 600550 720660 900825 1201100 1441320 1801650 2390189 2402200 3603300 4780378 7170567 7206600 9560756 11950945 14341134 19121512 23901890 28682268 35852835 47803780 57364536 59754725 71705670 95607560 119509450 143411340 179264175 239018900 286822680 358528350 478037800 717056700 1434113400