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7034009364 = 22324110943721
BaseRepresentation
bin1101000110100001…
…00111011100010100
3200011012201200212100
412203100213130110
5103401201244424
63121551122100
7336211043634
oct64320473424
920135650770
107034009364
112a8a573388
121443813330
13881382b25
144aa2906c4
152b27d5dc9
hex1a3427714

7034009364 has 72 divisors (see below), whose sum is σ = 18381603240. Its totient is φ = 2266444800.

The previous prime is 7034009341. The next prime is 7034009407. The reversal of 7034009364 is 4639004307.

It can be written as a sum of positive squares in 4 ways, for example, as 648720900 + 6385288464 = 25470^2 + 79908^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139024 + ... + 182744.

It is an arithmetic number, because the mean of its divisors is an integer number (255300045).

Almost surely, 27034009364 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 7034009364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9190801620).

7034009364 is an abundant number, since it is smaller than the sum of its proper divisors (11347593876).

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

7034009364 is a wasteful number, since it uses less digits than its factorization.

7034009364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43881 (or 43876 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 7034009364 is about 83869.0012102207. The cubic root of 7034009364 is about 1916.0241587748.

The spelling of 7034009364 in words is "seven billion, thirty-four million, nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 109 123 164 218 246 327 369 436 492 654 738 981 1308 1476 1962 3924 4469 8938 13407 17876 26814 40221 43721 53628 80442 87442 131163 160884 174884 262326 393489 524652 786978 1573956 1792561 3585122 4765589 5377683 7170244 9531178 10755366 14296767 16133049 19062356 21510732 28593534 32266098 42890301 57187068 64532196 85780602 171561204 195389149 390778298 586167447 781556596 1172334894 1758502341 2344669788 3517004682 7034009364