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30434422032 = 2433719135261
BaseRepresentation
bin11100010110000010…
…000110110100010000
32220120000201211101000
4130112002012310100
5444312203001112
621551551142000
72125123214250
oct342602066420
986500654330
1030434422032
11119a848a803
125a94514900
132b40399361
14168a00d960
15bd1d3b7dc
hex716086d10

30434422032 has 160 divisors (see below), whose sum is σ = 99908962560. Its totient is φ = 8689351680.

The previous prime is 30434422003. The next prime is 30434422079. The reversal of 30434422032 is 23022443403.

30434422032 is a `hidden beast` number, since 3 + 0 + 434 + 4 + 220 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30434421987 and 30434422005.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5782282 + ... + 5787542.

It is an arithmetic number, because the mean of its divisors is an integer number (624431016).

Almost surely, 230434422032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30434422032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49954481280).

30434422032 is an abundant number, since it is smaller than the sum of its proper divisors (69474540528).

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

30434422032 is a wasteful number, since it uses less digits than its factorization.

30434422032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7198 (or 7186 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 30434422032 its reverse (23022443403), we get a palindrome (53456865435).

The spelling of 30434422032 in words is "thirty billion, four hundred thirty-four million, four hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 1913 3024 3826 5261 5739 7652 10522 11478 13391 15304 15783 17217 21044 22956 26782 30608 31566 34434 36827 40173 42088 45912 47349 51651 53564 63132 68868 73654 80346 84176 91824 94698 103302 107128 110481 120519 126264 137736 142047 147308 160692 189396 206604 214256 220962 241038 252528 275472 284094 294616 321384 331443 361557 378792 413208 441924 482076 568188 589232 642768 662886 723114 757584 826416 883848 964152 994329 1136376 1325772 1446228 1767696 1928304 1988658 2272752 2651544 2892456 3977316 5303088 5784912 7954632 10064293 15909264 20128586 30192879 40257172 60385758 70450051 80514344 90578637 120771516 140900102 161028688 181157274 211350153 241543032 271735911 281800204 362314548 422700306 483086064 543471822 563600408 634050459 724629096 845400612 1086943644 1127200816 1268100918 1449258192 1690801224 1902151377 2173887288 2536201836 3381602448 3804302754 4347774576 5072403672 7608605508 10144807344 15217211016 30434422032