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1342250640 = 2432517109661
BaseRepresentation
bin101000000000001…
…0001111010010000
310110112200101201200
41100000101322100
510222104010030
6341105031200
745155641113
oct12000217220
93415611650
101342250640
11629735855
12315625500
1318510c063
14ca39c57a
157cc88d60
hex50011e90

1342250640 has 120 divisors (see below), whose sum is σ = 4772928888. Its totient is φ = 336875520.

The previous prime is 1342250639. The next prime is 1342250641. The reversal of 1342250640 is 460522431.

1342250640 is a `hidden beast` number, since 13 + 4 + 2 + 2 + 5 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1342250639) and next prime (1342250641).

It can be written as a sum of positive squares in 4 ways, for example, as 733543056 + 608707584 = 27084^2 + 24672^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342250641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42591 + ... + 67070.

Almost surely, 21342250640 is an apocalyptic number.

1342250640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1342250640 is an abundant number, since it is smaller than the sum of its proper divisors (3430678248).

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

1342250640 is a wasteful number, since it uses less digits than its factorization.

1342250640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109697 (or 109688 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1342250640 is about 36636.7389378476. The cubic root of 1342250640 is about 1103.0906579416.

The spelling of 1342250640 in words is "one billion, three hundred forty-two million, two hundred fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 109661 219322 328983 438644 548305 657966 877288 986949 1096610 1315932 1644915 1754576 1864237 1973898 2193220 2631864 3289830 3728474 3947796 4386440 4934745 5263728 5592711 6579660 7456948 7895592 8772880 9321185 9869490 11185422 13159320 14913896 15791184 16778133 18642370 19738980 22370844 26318640 27963555 29827792 33556266 37284740 39477960 44741688 55927110 67112532 74569480 78955920 83890665 89483376 111854220 134225064 149138960 167781330 223708440 268450128 335562660 447416880 671125320 1342250640