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269034864 = 243723311123
BaseRepresentation
bin10000000010010…
…010010101110000
3200202020101110020
4100002102111300
51022333103424
642410203440
76444521130
oct2002222560
9622211406
10269034864
1112895496a
1276123580
1343978737
1427a32ac0
1518944079
hex10092570

269034864 has 160 divisors (see below), whose sum is σ = 856326144. Its totient is φ = 71089920.

The previous prime is 269034863. The next prime is 269034869. The reversal of 269034864 is 468430962.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (269034863) 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, 239007 + ... + 240129.

Almost surely, 2269034864 is an apocalyptic number.

269034864 is a gapful number since it is divisible by the number (24) 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 269034864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428163072).

269034864 is an abundant number, since it is smaller than the sum of its proper divisors (587291280).

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

269034864 is a wasteful number, since it uses less digits than its factorization.

269034864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 269034864 is about 16402.2822802194. The cubic root of 269034864 is about 645.5593681290.

The spelling of 269034864 in words is "two hundred sixty-nine million, thirty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 31 42 46 48 56 62 69 84 92 93 112 124 138 161 168 184 186 217 248 276 322 336 368 372 434 483 496 552 644 651 713 744 868 966 1104 1123 1288 1302 1426 1488 1736 1932 2139 2246 2576 2604 2852 3369 3472 3864 4278 4492 4991 5208 5704 6738 7728 7861 8556 8984 9982 10416 11408 13476 14973 15722 17112 17968 19964 23583 25829 26952 29946 31444 34224 34813 39928 47166 51658 53904 59892 62888 69626 77487 79856 94332 103316 104439 119784 125776 139252 154974 180803 188664 206632 208878 239568 243691 278504 309948 361606 377328 413264 417756 487382 542409 557008 619896 723212 731073 800699 835512 974764 1084818 1239792 1446424 1462146 1601398 1671024 1949528 2169636 2402097 2892848 2924292 3202796 3899056 4339272 4804194 5604893 5848584 6405592 8678544 9608388 11209786 11697168 12811184 16814679 19216776 22419572 33629358 38433552 44839144 67258716 89678288 134517432 269034864