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34025244435 = 3257138308973
BaseRepresentation
bin11111101100000100…
…000000011100010011
310020211021111111200100
4133230010000130103
51024140430310220
623344143023443
72313114543240
oct375404003423
9106737444610
1034025244435
11134803aa826
126716b9ab83
1332932b5040
14190ac905c7
15d421d8d90
hex7ec100713

34025244435 has 48 divisors (see below), whose sum is σ = 72587196864. Its totient is φ = 14357903616.

The previous prime is 34025244427. The next prime is 34025244443. The reversal of 34025244435 is 53444252043.

34025244435 is a `hidden beast` number, since 3 + 402 + 5 + 244 + 4 + 3 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (34025244427) and next prime (34025244443).

It is not a de Polignac number, because 34025244435 - 23 = 34025244427 is a prime.

It is a super-2 number, since 2×340252444352 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34025244435.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4150392 + ... + 4158581.

It is an arithmetic number, because the mean of its divisors is an integer number (1512233268).

Almost surely, 234025244435 is an apocalyptic number.

34025244435 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34025244435 is an abundant number, since it is smaller than the sum of its proper divisors (38561952429).

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

34025244435 is a wasteful number, since it uses less digits than its factorization.

34025244435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8309004 (or 8309001 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 34025244435 its reverse (53444252043), we get a palindrome (87469496478).

The spelling of 34025244435 in words is "thirty-four billion, twenty-five million, two hundred forty-four thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 4095 8308973 24926919 41544865 58162811 74780757 108016649 124634595 174488433 290814055 324049947 373903785 523465299 540083245 756116543 872442165 972149841 1620249735 2268349629 2617326495 3780582715 4860749205 6805048887 11341748145 34025244435