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1434037044 = 2231161313569
BaseRepresentation
bin101010101111001…
…1010101100110100
310200221101122000010
41111132122230310
510414103141134
6354144220220
750352054006
oct12536325464
93627348003
101434037044
11676527290
1234030a670
1319b13813b
14d8652376
1585d69ce9
hex5579ab34

1434037044 has 96 divisors (see below), whose sum is σ = 3728511360. Its totient is φ = 425318400.

The previous prime is 1434037043. The next prime is 1434037061. The reversal of 1434037044 is 4407304341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434037043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2519992 + ... + 2520560.

It is an arithmetic number, because the mean of its divisors is an integer number (38838660).

Almost surely, 21434037044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434037044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864255680).

1434037044 is an abundant number, since it is smaller than the sum of its proper divisors (2294474316).

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

1434037044 is a wasteful number, since it uses less digits than its factorization.

1434037044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 1434037044 is about 37868.6815719798. The cubic root of 1434037044 is about 1127.6823680640.

The spelling of 1434037044 in words is "one billion, four hundred thirty-four million, thirty-seven thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 313 366 569 626 671 732 939 1138 1252 1342 1707 1878 2013 2276 2684 3414 3443 3756 4026 6259 6828 6886 8052 10329 12518 13772 18777 19093 20658 25036 34709 37554 38186 41316 57279 69418 75108 76372 104127 114558 138836 178097 208254 210023 229116 356194 381799 416508 420046 534291 630069 712388 763598 840092 1068582 1145397 1260138 1527196 1959067 2137164 2290794 2520276 3918134 4581588 5877201 7836268 10863917 11754402 21727834 23508804 32591751 43455668 65183502 119503087 130367004 239006174 358509261 478012348 717018522 1434037044