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1234144340 = 2251121339229
BaseRepresentation
bin100100110001111…
…1000110001010100
310012000021000202122
41021203320301110
510011420104330
6322243555112
742404024312
oct11143706124
93160230678
101234144340
11583707a00
122a538ba98
131688ba930
14b9c9b0b2
15735325e5
hex498f8c54

1234144340 has 72 divisors (see below), whose sum is σ = 3067942920. Its totient is φ = 414247680.

The previous prime is 1234144339. The next prime is 1234144349. The reversal of 1234144340 is 434414321.

It can be written as a sum of positive squares in 4 ways, for example, as 277355716 + 956788624 = 16654^2 + 30932^2 .

It is a super-2 number, since 2×12341443402 = 3046224503908071200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1234144349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11846 + ... + 51074.

Almost surely, 21234144340 is an apocalyptic number.

1234144340 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 1234144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533971460).

1234144340 is an abundant number, since it is smaller than the sum of its proper divisors (1833798580).

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

1234144340 is a wasteful number, since it uses less digits than its factorization.

1234144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39273 (or 39260 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 1234144340 is about 35130.3905472171. The cubic root of 1234144340 is about 1072.6432856995.

Adding to 1234144340 its reverse (434414321), we get a palindrome (1668558661).

The spelling of 1234144340 in words is "one billion, two hundred thirty-four million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 484 572 605 715 1210 1430 1573 2420 2860 3146 6292 7865 15730 31460 39229 78458 156916 196145 392290 431519 509977 784580 863038 1019954 1726076 2039908 2157595 2549885 4315190 4746709 5099770 5609747 8630380 9493418 10199540 11219494 18986836 22438988 23733545 28048735 47467090 56097470 61707217 94934180 112194940 123414434 246828868 308536085 617072170 1234144340