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1234534420 = 225722295501
BaseRepresentation
bin100100110010101…
…1000000000010100
310012000222211212001
41021211120000110
510012020100140
6322300205044
742410240500
oct11145300024
93160884761
101234534420
11583953a89
122a5539784
131689c6352
14b9d5d300
15735ace9a
hex49958014

1234534420 has 72 divisors (see below), whose sum is σ = 3029511240. Its totient is φ = 421344000.

The previous prime is 1234534417. The next prime is 1234534471. The reversal of 1234534420 is 244354321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 766071684 + 468462736 = 27678^2 + 21644^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 221670 + ... + 227170.

It is an arithmetic number, because the mean of its divisors is an integer number (42076545).

Almost surely, 21234534420 is an apocalyptic number.

1234534420 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 1234534420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514755620).

1234534420 is an abundant number, since it is smaller than the sum of its proper divisors (1794976820).

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

1234534420 is a wasteful number, since it uses less digits than its factorization.

1234534420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5753 (or 5744 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 1234534420 is about 35135.9419967645. The cubic root of 1234534420 is about 1072.7562850745.

Adding to 1234534420 its reverse (244354321), we get a palindrome (1478888741).

The spelling of 1234534420 in words is "one billion, two hundred thirty-four million, five hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 229 245 458 490 916 980 1145 1603 2290 3206 4580 5501 6412 8015 11002 11221 16030 22004 22442 27505 32060 38507 44884 55010 56105 77014 110020 112210 154028 192535 224420 269549 385070 539098 770140 1078196 1259729 1347745 2519458 2695490 5038916 5390980 6298645 8818103 12597290 17636206 25194580 35272412 44090515 61726721 88181030 123453442 176362060 246906884 308633605 617267210 1234534420