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1035309330 = 233511359971
BaseRepresentation
bin111101101101011…
…001000100010010
32200011010011102000
4331231121010102
54110014344310
6250422134430
734440661356
oct7555310422
92604104360
101035309330
11491450250
1224a881416
13136650993
149b6dd466
1560d584c0
hex3db59112

1035309330 has 128 divisors (see below), whose sum is σ = 3023308800. Its totient is φ = 250027200.

The previous prime is 1035309283. The next prime is 1035309349. The reversal of 1035309330 is 339035301.

1035309330 is a `hidden beast` number, since 10 + 3 + 530 + 93 + 30 = 666.

1035309330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1035309294 and 1035309303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1065745 + ... + 1066715.

It is an arithmetic number, because the mean of its divisors is an integer number (23619600).

Almost surely, 21035309330 is an apocalyptic number.

1035309330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1035309330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511654400).

1035309330 is an abundant number, since it is smaller than the sum of its proper divisors (1987999470).

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

1035309330 is a wasteful number, since it uses less digits than its factorization.

1035309330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 3645, while the sum is 27.

The square root of 1035309330 is about 32176.2230536774. The cubic root of 1035309330 is about 1011.6339040686.

The spelling of 1035309330 in words is "one billion, thirty-five million, three hundred nine thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 359 495 594 718 971 990 1077 1485 1795 1942 2154 2913 2970 3231 3590 3949 4855 5385 5826 6462 7898 8739 9693 9710 10681 10770 11847 14565 16155 17478 19386 19745 21362 23694 26217 29130 32043 32310 35541 39490 43695 48465 52434 53405 59235 64086 71082 87390 96129 96930 106623 106810 118470 131085 160215 177705 192258 213246 262170 288387 320430 348589 355410 480645 533115 576774 697178 961290 1045767 1066230 1441935 1742945 2091534 2883870 3137301 3485890 3834479 5228835 6274602 7668958 9411903 10457670 11503437 15686505 18823806 19172395 23006874 31373010 34510311 38344790 47059515 57517185 69020622 94119030 103530933 115034370 172551555 207061866 345103110 517654665 1035309330