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1234400020 = 225756315661
BaseRepresentation
bin100100110010011…
…0111001100010100
310012000202000111021
41021210313030110
510012001300040
6322253250524
742406140610
oct11144671424
93160660437
101234400020
11583872007
122a5493a44
1316897a119
14b9d26340
157358324a
hex49937314

1234400020 has 48 divisors (see below), whose sum is σ = 2968011648. Its totient is φ = 422444160.

The previous prime is 1234400017. The next prime is 1234400021. The reversal of 1234400020 is 200044321.

It is a junction number, because it is equal to n+sod(n) for n = 1234399967 and 1234400003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1234400021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70990 + ... + 86650.

It is an arithmetic number, because the mean of its divisors is an integer number (61833576).

Almost surely, 21234400020 is an apocalyptic number.

1234400020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1234400020 is an abundant number, since it is smaller than the sum of its proper divisors (1733611628).

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

1234400020 is a wasteful number, since it uses less digits than its factorization.

1234400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16240 (or 16238 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1234400020 is about 35134.0293732444. The cubic root of 1234400020 is about 1072.7173544259.

Adding to 1234400020 its reverse (200044321), we get a palindrome (1434444341).

The spelling of 1234400020 in words is "one billion, two hundred thirty-four million, four hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 563 1126 2252 2815 3941 5630 7882 11260 15661 15764 19705 31322 39410 62644 78305 78820 109627 156610 219254 313220 438508 548135 1096270 2192540 8817143 17634286 35268572 44085715 61720001 88171430 123440002 176342860 246880004 308600005 617200010 1234400020