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1042030368 = 253217331643
BaseRepresentation
bin111110000111000…
…001111100100000
32200121202121221100
4332013001330200
54113224432433
6251222154400
734552053261
oct7607017440
92617677840
101042030368
11495220925
12250b82a00
13137b64c22
149c56c968
1561734b13
hex3e1c1f20

1042030368 has 144 divisors (see below), whose sum is σ = 3151957536. Its totient is φ = 325416960.

The previous prime is 1042030361. The next prime is 1042030469. The reversal of 1042030368 is 8630302401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1042030361) 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, 1620255 + ... + 1620897.

It is an arithmetic number, because the mean of its divisors is an integer number (21888594).

Almost surely, 21042030368 is an apocalyptic number.

1042030368 is a gapful number since it is divisible by the number (18) 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 1042030368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575978768).

1042030368 is an abundant number, since it is smaller than the sum of its proper divisors (2109927168).

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

1042030368 is a wasteful number, since it uses less digits than its factorization.

1042030368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1042030368 is about 32280.4951634884. The cubic root of 1042030368 is about 1013.8182977993.

Adding to 1042030368 its reverse (8630302401), we get a palindrome (9672332769).

The spelling of 1042030368 in words is "one billion, forty-two million, thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 331 408 544 612 643 662 816 993 1224 1286 1324 1632 1929 1986 2448 2572 2648 2979 3858 3972 4896 5144 5296 5627 5787 5958 7716 7944 10288 10592 10931 11254 11574 11916 15432 15888 16881 20576 21862 22508 23148 23832 30864 31776 32793 33762 43724 45016 46296 47664 50643 61728 65586 67524 87448 90032 92592 95328 98379 101286 131172 135048 174896 180064 185184 196758 202572 212833 262344 270096 349792 393516 405144 425666 524688 540192 638499 787032 810288 851332 1049376 1276998 1574064 1620576 1702664 1915497 2553996 3148128 3405328 3618161 3830994 5107992 6810656 7236322 7661988 10215984 10854483 14472644 15323976 20431968 21708966 28945288 30647952 32563449 43417932 57890576 61295904 65126898 86835864 115781152 130253796 173671728 260507592 347343456 521015184 1042030368