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1341941760 = 21132514561
BaseRepresentation
bin100111111111100…
…0110100000000000
310110112002201000200
41033333012200000
510222014114020
6341054245200
745153213435
oct11777064000
93415081020
101341941760
11629544785
123154b6800
131850315a3
14ca31bb8c
157cc27590
hex4ffc6800

1341941760 has 144 divisors (see below), whose sum is σ = 4651248420. Its totient is φ = 357826560.

The previous prime is 1341941753. The next prime is 1341941761. The reversal of 1341941760 is 671491431.

It can be written as a sum of positive squares in 2 ways, for example, as 1309860864 + 32080896 = 36192^2 + 5664^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341941761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84880 + ... + 99440.

Almost surely, 21341941760 is an apocalyptic number.

1341941760 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 1341941760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325624210).

1341941760 is an abundant number, since it is smaller than the sum of its proper divisors (3309306660).

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

1341941760 is a wasteful number, since it uses less digits than its factorization.

1341941760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14594 (or 14571 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1341941760 is about 36632.5232546162. The cubic root of 1341941760 is about 1103.0060366914.

The spelling of 1341941760 in words is "one billion, three hundred forty-one million, nine hundred forty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5760 6144 7680 9216 10240 11520 14561 15360 18432 23040 29122 30720 43683 46080 58244 72805 87366 92160 116488 131049 145610 174732 218415 232976 262098 291220 349464 436830 465952 524196 582440 655245 698928 873660 931904 1048392 1164880 1310490 1397856 1747320 1863808 2096784 2329760 2620980 2795712 3494640 3727616 4193568 4659520 5241960 5591424 6989280 7455232 8387136 9319040 10483920 11182848 13978560 14910464 16774272 18638080 20967840 22365696 27957120 29820928 33548544 37276160 41935680 44731392 55914240 67097088 74552320 83871360 89462784 111828480 134194176 149104640 167742720 223656960 268388352 335485440 447313920 670970880 1341941760