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1340295528 = 23311131492621
BaseRepresentation
bin100111111100011…
…0100100101101000
310110102000001211010
41033320310211220
510221103424103
6340555103520
745133216065
oct11770644550
93412001733
101340295528
1162861a960
12314a41ba0
131848a61a0
14ca00dc6c
157c9ee903
hex4fe34968

1340295528 has 128 divisors (see below), whose sum is σ = 3964464000. Its totient is φ = 372249600.

The previous prime is 1340295527. The next prime is 1340295547. The reversal of 1340295528 is 8255920431.

1340295528 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1340295527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510058 + ... + 512678.

It is an arithmetic number, because the mean of its divisors is an integer number (30972375).

Almost surely, 21340295528 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 1340295528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982232000).

1340295528 is an abundant number, since it is smaller than the sum of its proper divisors (2624168472).

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

1340295528 is a wasteful number, since it uses less digits than its factorization.

1340295528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 1340295528 is about 36610.0468177794. The cubic root of 1340295528 is about 1102.5548132208.

The spelling of 1340295528 in words is "one billion, three hundred forty million, two hundred ninety-five thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 149 156 264 286 298 312 429 447 572 596 858 894 1144 1192 1639 1716 1788 1937 2621 3278 3432 3576 3874 4917 5242 5811 6556 7748 7863 9834 10484 11622 13112 15496 15726 19668 20968 21307 23244 28831 31452 34073 39336 42614 46488 57662 62904 63921 68146 85228 86493 102219 115324 127842 136292 170456 172986 204438 230648 255684 272584 345972 374803 390529 408876 511368 691944 749606 781058 817752 1124409 1171587 1499212 1562116 2248818 2343174 2998424 3124232 4295819 4497636 4686348 5076877 8591638 8995272 9372696 10153754 12887457 15230631 17183276 20307508 25774914 30461262 34366552 40615016 51549828 55845647 60922524 103099656 111691294 121845048 167536941 223382588 335073882 446765176 670147764 1340295528