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1342208640 = 27351936793
BaseRepresentation
bin101000000000000…
…0111101010000000
310110112121021010010
41100000013222000
510222101134030
6341104104520
745155404503
oct12000075200
93415537103
101342208640
11629707243
12315605140
131850c5bc6
14ca38b13a
157cc7b6b0
hex50007a80

1342208640 has 128 divisors (see below), whose sum is σ = 4503585600. Its totient is φ = 339075072.

The previous prime is 1342208597. The next prime is 1342208663. The reversal of 1342208640 is 468022431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1342208598 and 1342208607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18084 + ... + 54876.

Almost surely, 21342208640 is an apocalyptic number.

1342208640 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 1342208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251792800).

1342208640 is an abundant number, since it is smaller than the sum of its proper divisors (3161376960).

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

1342208640 is a wasteful number, since it uses less digits than its factorization.

1342208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36834 (or 36822 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1342208640 is about 36636.1657382429. The cubic root of 1342208640 is about 1103.0791523183.

The spelling of 1342208640 in words is "one billion, three hundred forty-two million, two hundred eight thousand, six hundred forty".

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 96 114 120 128 152 160 190 192 228 240 285 304 320 380 384 456 480 570 608 640 760 912 960 1140 1216 1520 1824 1920 2280 2432 3040 3648 4560 6080 7296 9120 12160 18240 36480 36793 73586 110379 147172 183965 220758 294344 367930 441516 551895 588688 699067 735860 883032 1103790 1177376 1398134 1471720 1766064 2097201 2207580 2354752 2796268 2943440 3495335 3532128 4194402 4415160 4709504 5592536 5886880 6990670 7064256 8388804 8830320 10486005 11185072 11773760 13981340 14128512 16777608 17660640 20972010 22370144 23547520 27962680 33555216 35321280 41944020 44740288 55925360 67110432 70642560 83888040 89480576 111850720 134220864 167776080 223701440 268441728 335552160 447402880 671104320 1342208640