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34453396656 = 243472542539
BaseRepresentation
bin100000000101100101…
…010001110010110000
310021221010010220010000
4200011211101302300
51031030032143111
623454435510000
72326534016400
oct400545216260
9107833126100
1034453396656
1113680053938
126816458300
133330c02553
14194baa2800
15d69aadc56
hex805951cb0

34453396656 has 150 divisors (see below), whose sum is σ = 115998849780. Its totient is φ = 9843809472.

The previous prime is 34453396651. The next prime is 34453396661. The reversal of 34453396656 is 65669335443.

34453396656 is a `hidden beast` number, since 3 + 44 + 533 + 9 + 6 + 65 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (34453396651) and next prime (34453396661).

It is a super-2 number, since 2×344533966562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (34453396651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 207766 + ... + 334773.

Almost surely, 234453396656 is an apocalyptic number.

34453396656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34453396656 is an abundant number, since it is smaller than the sum of its proper divisors (81545453124).

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

34453396656 is a wasteful number, since it uses less digits than its factorization.

34453396656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542573 (or 542551 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 54.

The spelling of 34453396656 in words is "thirty-four billion, four hundred fifty-three million, three hundred ninety-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1008 1134 1176 1296 1323 1512 1764 2268 2352 2646 3024 3528 3969 4536 5292 7056 7938 9072 10584 15876 21168 31752 63504 542539 1085078 1627617 2170156 3255234 3797773 4340312 4882851 6510468 7595546 8680624 9765702 11393319 13020936 14648553 15191092 19531404 22786638 26041872 26584411 29297106 30382184 34179957 39062808 43945659 45573276 53168822 58594212 60764368 68359914 78125616 79753233 87891318 91146552 102539871 106337644 117188424 136719828 159506466 175782636 182293104 205079742 212675288 234376848 239259699 273439656 307619613 319012932 351565272 410159484 425350576 478519398 546879312 615239226 638025864 703130544 717779097 820318968 957038796 1230478452 1276051728 1435558194 1640637936 1914077592 2153337291 2460956904 2871116388 3828155184 4306674582 4921913808 5742232776 8613349164 11484465552 17226698328 34453396656