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32034322432 = 21172922657
BaseRepresentation
bin11101110101011001…
…001111100000000000
310001200112020012010101
4131311121033200000
51011101241304212
622414422412144
72212561151020
oct356531174000
9101615205111
1032034322432
11126495a3642
126260291054
133036998998
14179c6b9a80
15c7751b157
hex77564f800

32034322432 has 144 divisors (see below), whose sum is σ = 75843265680. Its totient is φ = 13250592768.

The previous prime is 32034322429. The next prime is 32034322451. The reversal of 32034322432 is 23422343023.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 32034322432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12055248 + ... + 12057904.

It is an arithmetic number, because the mean of its divisors is an integer number (526689345).

Almost surely, 232034322432 is an apocalyptic number.

32034322432 is a gapful number since it is divisible by the number (32) 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 32034322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37921632840).

32034322432 is an abundant number, since it is smaller than the sum of its proper divisors (43808943248).

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

32034322432 is an equidigital number, since it uses as much as digits as its factorization.

32034322432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 32034322432 its reverse (23422343023), we get a palindrome (55456665455).

The spelling of 32034322432 in words is "thirty-two billion, thirty-four million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 512 812 841 896 928 1024 1624 1682 1792 1856 2048 2657 3248 3364 3584 3712 5314 5887 6496 6728 7168 7424 10628 11774 12992 13456 14336 14848 18599 21256 23548 25984 26912 29696 37198 42512 47096 51968 53824 59392 74396 77053 85024 94192 103936 107648 148792 154106 170048 188384 207872 215296 297584 308212 340096 376768 415744 430592 539371 595168 616424 680192 753536 861184 1078742 1190336 1232848 1360384 1507072 1722368 2157484 2234537 2380672 2465696 2720768 3014144 4314968 4469074 4761344 4931392 5441536 6028288 8629936 8938148 9522688 9862784 12056576 15641759 17259872 17876296 19045376 19725568 31283518 34519744 35752592 38090752 39451136 62567036 69039488 71505184 78902272 125134072 138078976 143010368 157804544 250268144 276157952 286020736 500536288 552315904 572041472 1001072576 1104631808 1144082944 2002145152 2288165888 4004290304 4576331776 8008580608 16017161216 32034322432