Search a number
-
+
1342901760 = 2935199203
BaseRepresentation
bin101000000001011…
…0000111000000000
310110120220110220020
41100002300320000
510222240324020
6341131013440
745164322324
oct12002607000
93416813806
101342901760
1162a03aa72
1231589a280
131852a9535
14ca4cb984
157cd66c40
hex500b0e00

1342901760 has 160 divisors (see below), whose sum is σ = 4519532160. Its totient is φ = 339222528.

The previous prime is 1342901731. The next prime is 1342901761. The reversal of 1342901760 is 671092431.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×13429017602 = 3606770274022195200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342901761) 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, 141319 + ... + 150521.

It is an arithmetic number, because the mean of its divisors is an integer number (28247076).

Almost surely, 21342901760 is an apocalyptic number.

1342901760 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 1342901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259766080).

1342901760 is an abundant number, since it is smaller than the sum of its proper divisors (3176630400).

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

1342901760 is an equidigital number, since it uses as much as digits as its factorization.

1342901760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9248 (or 9232 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1342901760 is about 36645.6240225214. The cubic root of 1342901760 is about 1103.2689972820.

The spelling of 1342901760 in words is "one billion, three hundred forty-two million, nine hundred one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 512 570 608 640 760 768 912 960 1140 1216 1280 1520 1536 1824 1920 2280 2432 2560 3040 3648 3840 4560 4864 6080 7296 7680 9120 9203 9728 12160 14592 18240 18406 24320 27609 29184 36480 36812 46015 48640 55218 72960 73624 92030 110436 138045 145920 147248 174857 184060 220872 276090 294496 349714 368120 441744 524571 552180 588992 699428 736240 874285 883488 1049142 1104360 1177984 1398856 1472480 1748570 1766976 2098284 2208720 2355968 2622855 2797712 2944960 3497140 3533952 4196568 4417440 4711936 5245710 5595424 5889920 6994280 7067904 8393136 8834880 10491420 11190848 11779840 13988560 14135808 16786272 17669760 20982840 22381696 23559680 27977120 33572544 35339520 41965680 44763392 55954240 67145088 70679040 83931360 89526784 111908480 134290176 167862720 223816960 268580352 335725440 447633920 671450880 1342901760