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1348923420 = 2232513797297
BaseRepresentation
bin101000001100110…
…1111000000011100
310111000020102001200
41100121233000130
510230311022140
6341504035500
745266442225
oct12031570034
93430212050
101348923420
11632483149
12317902b90
13186607350
14cb21824c
157d656030
hex5066f01c

1348923420 has 144 divisors (see below), whose sum is σ = 4462872960. Its totient is φ = 327794688.

The previous prime is 1348923413. The next prime is 1348923421. The reversal of 1348923420 is 243298431.

1348923420 is a `hidden beast` number, since 134 + 89 + 23 + 420 = 666.

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 (1348923421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181212 + ... + 188508.

Almost surely, 21348923420 is an apocalyptic number.

1348923420 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 1348923420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231436480).

1348923420 is an abundant number, since it is smaller than the sum of its proper divisors (3113949540).

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

1348923420 is a wasteful number, since it uses less digits than its factorization.

1348923420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7404 (or 7399 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1348923420 is about 36727.6928216298. The cubic root of 1348923420 is about 1104.9155822299.

The spelling of 1348923420 in words is "one billion, three hundred forty-eight million, nine hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 79 90 117 130 156 158 180 195 234 237 260 316 390 395 468 474 585 711 780 790 948 1027 1170 1185 1422 1580 2054 2340 2370 2844 3081 3555 4108 4740 5135 6162 7110 7297 9243 10270 12324 14220 14594 15405 18486 20540 21891 29188 30810 36485 36972 43782 46215 61620 65673 72970 87564 92430 94861 109455 131346 145940 184860 189722 218910 262692 284583 328365 379444 437820 474305 569166 576463 656730 853749 948610 1138332 1152926 1313460 1422915 1707498 1729389 1897220 2305852 2845830 2882315 3414996 3458778 4268745 5188167 5691660 5764630 6917556 7494019 8537490 8646945 10376334 11529260 14988038 17074980 17293890 20752668 22482057 25940835 29976076 34587780 37470095 44964114 51881670 67446171 74940190 89928228 103763340 112410285 134892342 149880380 224820570 269784684 337230855 449641140 674461710 1348923420