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1342719952 = 24722973809
BaseRepresentation
bin101000000001000…
…0100011111010000
310110120120020111121
41100002010133100
510222214014302
6341123052024
745162634300
oct12002043720
93416506447
101342719952
11629a26412
12315811014
13185244862
14ca481600
157cd2ce37
hex500847d0

1342719952 has 120 divisors (see below), whose sum is σ = 3177419400. Its totient is φ = 547319808.

The previous prime is 1342719929. The next prime is 1342719971. The reversal of 1342719952 is 2599172431.

It can be written as a sum of positive squares in 4 ways, for example, as 498003856 + 844716096 = 22316^2 + 29064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1342719899 and 1342719908.

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, 1659324 + ... + 1660132.

It is an arithmetic number, because the mean of its divisors is an integer number (26478495).

Almost surely, 21342719952 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 1342719952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588709700).

1342719952 is an abundant number, since it is smaller than the sum of its proper divisors (1834699448).

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

1342719952 is a wasteful number, since it uses less digits than its factorization.

1342719952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 920 counting only the distinct ones).

The product of its digits is 136080, while the sum is 43.

The square root of 1342719952 is about 36643.1433149505. The cubic root of 1342719952 is about 1103.2192065506.

The spelling of 1342719952 in words is "one billion, three hundred forty-two million, seven hundred nineteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 73 98 112 116 146 196 203 232 292 392 406 464 511 584 784 809 812 1022 1168 1421 1618 1624 2044 2117 2842 3236 3248 3577 4088 4234 5663 5684 6472 7154 8176 8468 11326 11368 12944 14308 14819 16936 22652 22736 23461 28616 29638 33872 39641 45304 46922 57232 59057 59276 79282 90608 93844 103733 118114 118552 158564 164227 187688 207466 236228 237104 317128 328454 375376 413399 414932 472456 634256 656908 826798 829864 944912 1149589 1313816 1653596 1659728 1712653 2299178 2627632 2893793 3307192 3425306 4598356 5787586 6614384 6850612 9196712 11575172 11988571 13701224 18393424 23150344 23977142 27402448 46300688 47954284 83919997 95908568 167839994 191817136 335679988 671359976 1342719952