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1134735240 = 233537255571
BaseRepresentation
bin100001110100010…
…1010111110001000
32221002012112010010
41003220222332020
54310443011430
6304333151520
740056043002
oct10350527610
92832175103
101134735240
1153258a421
1227802b5a0
13151123092
14aa9c1372
1569947cb0
hex43a2af88

1134735240 has 64 divisors (see below), whose sum is σ = 3496224960. Its totient is φ = 294416640.

The previous prime is 1134735211. The next prime is 1134735263. The reversal of 1134735240 is 425374311.

It is a happy number.

It is a super-3 number, since 3×11347352403 (a number of 28 digits) contains 333 as substring.

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 = 1134735198 and 1134735207.

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, 123346 + ... + 132225.

It is an arithmetic number, because the mean of its divisors is an integer number (54628515).

Almost surely, 21134735240 is an apocalyptic number.

1134735240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1134735240 is an abundant number, since it is smaller than the sum of its proper divisors (2361489720).

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

1134735240 is a wasteful number, since it uses less digits than its factorization.

1134735240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255622 (or 255618 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 1134735240 is about 33685.8314429079. The cubic root of 1134735240 is about 1043.0333163662.

The spelling of 1134735240 in words is "one billion, one hundred thirty-four million, seven hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 255571 511142 766713 1022284 1277855 1533426 2044568 2555710 3066852 3833565 5111420 6133704 7667130 9456127 10222840 15334260 18912254 28368381 30668520 37824508 47280635 56736762 75649016 94561270 113473524 141841905 189122540 226947048 283683810 378245080 567367620 1134735240