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5434010424 = 23321715129401
BaseRepresentation
bin1010000111110010…
…00110101100111000
3112000201001022221100
411003321012230320
542112101313144
62255113411400
7251442216663
oct50371065470
915021038840
105434010424
1123393a2507
121077a09b60
13687a4a6ab
1439799a6da
1521c0d7269
hex143e46b38

5434010424 has 96 divisors (see below), whose sum is σ = 15686555040. Its totient is φ = 1693440000.

The previous prime is 5434010423. The next prime is 5434010467. The reversal of 5434010424 is 4240104345.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5434010423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170124 + ... + 199524.

It is an arithmetic number, because the mean of its divisors is an integer number (163401615).

Almost surely, 25434010424 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 5434010424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7843277520).

5434010424 is an abundant number, since it is smaller than the sum of its proper divisors (10252544616).

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

5434010424 is a wasteful number, since it uses less digits than its factorization.

5434010424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29581 (or 29574 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 5434010424 is about 73715.7406799932. The cubic root of 5434010424 is about 1758.0861625737.

Adding to 5434010424 its reverse (4240104345), we get a palindrome (9674114769).

The spelling of 5434010424 in words is "five billion, four hundred thirty-four million, ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 151 153 204 302 306 408 453 604 612 906 1208 1224 1359 1812 2567 2718 3624 5134 5436 7701 10268 10872 15402 20536 23103 29401 30804 46206 58802 61608 88203 92412 117604 176406 184824 235208 264609 352812 499817 529218 705624 999634 1058436 1499451 1999268 2116872 2998902 3998536 4439551 4498353 5997804 8879102 8996706 11995608 13318653 17758204 17993412 26637306 35516408 35986824 39955959 53274612 75472367 79911918 106549224 150944734 159823836 226417101 301889468 319647672 452834202 603778936 679251303 905668404 1358502606 1811336808 2717005212 5434010424