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1066432304 = 247171941719
BaseRepresentation
bin111111100100000…
…111011100110000
32202022200101002202
4333210013130300
54141001313204
6253453202332
735266345040
oct7744073460
92668611082
101066432304
114a7a78413
122591903a8
1313cc29b42
14a18c1720
1563954e1e
hex3f907730

1066432304 has 160 divisors (see below), whose sum is σ = 2699827200. Its totient is φ = 397025280.

The previous prime is 1066432261. The next prime is 1066432307. The reversal of 1066432304 is 4032346601.

It is a super-2 number, since 2×10664323042 = 2274555718029496832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1066432307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1482857 + ... + 1483575.

It is an arithmetic number, because the mean of its divisors is an integer number (16873920).

Almost surely, 21066432304 is an apocalyptic number.

1066432304 is a gapful number since it is divisible by the number (14) 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 1066432304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349913600).

1066432304 is an abundant number, since it is smaller than the sum of its proper divisors (1633394896).

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

1066432304 is a wasteful number, since it uses less digits than its factorization.

1066432304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 1066432304 is about 32656.2751090813. The cubic root of 1066432304 is about 1021.6710734094.

Adding to 1066432304 its reverse (4032346601), we get a palindrome (5098778905).

The spelling of 1066432304 in words is "one billion, sixty-six million, four hundred thirty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 17 19 28 34 38 41 56 68 76 82 112 119 133 136 152 164 238 266 272 287 304 323 328 476 532 574 646 656 697 719 779 952 1064 1148 1292 1394 1438 1558 1904 2128 2261 2296 2584 2788 2876 3116 4522 4592 4879 5033 5168 5453 5576 5752 6232 9044 9758 10066 10906 11152 11504 12223 12464 13243 13661 18088 19516 20132 21812 24446 26486 27322 29479 36176 39032 40264 43624 48892 52972 54644 58958 78064 80528 85561 87248 92701 95627 97784 105944 109288 117916 171122 185402 191254 195568 206353 211888 218576 232237 235832 342244 370804 382508 412706 464474 471664 501143 560101 684488 741608 765016 825412 928948 1002286 1120202 1368976 1483216 1530032 1625659 1650824 1857896 2004572 2240404 3251318 3301648 3508001 3715792 3920707 4009144 4480808 6502636 7016002 7841414 8018288 8961616 9521717 13005272 14032004 15682828 19043434 26010544 28064008 31365656 38086868 56128016 62731312 66652019 76173736 133304038 152347472 266608076 533216152 1066432304