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3494510480 = 245175348481
BaseRepresentation
bin1101000001001001…
…1111111110010000
3100000112112112012002
43100102133332100
524124043313410
61334431253132
7152411564126
oct32022377620
910015475162
103494510480
11153361849a
1281637a1a8
13438c96aa6
1425216d916
15156bc57a5
hexd049ff90

3494510480 has 80 divisors (see below), whose sum is σ = 8765157744. Its totient is φ = 1290731520.

The previous prime is 3494510407. The next prime is 3494510519. The reversal of 3494510480 is 840154943.

3494510480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 932935936 + 2561574544 = 30544^2 + 50612^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47840 + ... + 96320.

Almost surely, 23494510480 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 3494510480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382578872).

3494510480 is an abundant number, since it is smaller than the sum of its proper divisors (5270647264).

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

3494510480 is a wasteful number, since it uses less digits than its factorization.

3494510480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48564 (or 48558 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 3494510480 is about 59114.3847130290. The cubic root of 3494510480 is about 1517.5002888685.

The spelling of 3494510480 in words is "three billion, four hundred ninety-four million, five hundred ten thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 53 68 80 85 106 136 170 212 265 272 340 424 530 680 848 901 1060 1360 1802 2120 3604 4240 4505 7208 9010 14416 18020 36040 48481 72080 96962 193924 242405 387848 484810 775696 824177 969620 1648354 1939240 2569493 3296708 3878480 4120885 5138986 6593416 8241770 10277972 12847465 13186832 16483540 20555944 25694930 32967080 41111888 43681381 51389860 65934160 87362762 102779720 174725524 205559440 218406905 349451048 436813810 698902096 873627620 1747255240 3494510480