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1013342440 = 235113496599
BaseRepresentation
bin111100011001100…
…110000011101000
32121121210010111111
4330121212003220
54033403424230
6244315240104
734053161065
oct7431460350
92547703444
101013342440
114800071a0
12243449034
13131c2c216
1498821c6c
155de6992a
hex3c6660e8

1013342440 has 64 divisors (see below), whose sum is σ = 2494800000. Its totient is φ = 367376640.

The previous prime is 1013342423. The next prime is 1013342489. The reversal of 1013342440 is 442433101.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 150261 + ... + 156859.

It is an arithmetic number, because the mean of its divisors is an integer number (38981250).

Almost surely, 21013342440 is an apocalyptic number.

1013342440 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 1013342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247400000).

1013342440 is an abundant number, since it is smaller than the sum of its proper divisors (1481457560).

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

1013342440 is a wasteful number, since it uses less digits than its factorization.

1013342440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6970 (or 6966 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1013342440 is about 31833.0400684572. The cubic root of 1013342440 is about 1004.4278452493.

Adding to 1013342440 its reverse (442433101), we get a palindrome (1455775541).

The spelling of 1013342440 in words is "one billion, thirteen million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 349 440 698 1396 1745 2792 3490 3839 6599 6980 7678 13198 13960 15356 19195 26396 30712 32995 38390 52792 65990 72589 76780 131980 145178 153560 263960 290356 362945 580712 725890 1451780 2303051 2903560 4606102 9212204 11515255 18424408 23030510 25333561 46061020 50667122 92122040 101334244 126667805 202668488 253335610 506671220 1013342440