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3481534420 = 22571313713963
BaseRepresentation
bin1100111110000011…
…1111111111010100
322222122010021101021
43033200333333110
524112233100140
61333245210524
7152163361060
oct31740777724
98878107337
103481534420
111527265381
12811b60a44
134363a2750
14250552aa0
151559b0b4a
hexcf83ffd4

3481534420 has 96 divisors (see below), whose sum is σ = 9064758528. Its totient is φ = 1093727232.

The previous prime is 3481534387. The next prime is 3481534471. The reversal of 3481534420 is 244351843.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242359 + ... + 256321.

It is an arithmetic number, because the mean of its divisors is an integer number (94424568).

Almost surely, 23481534420 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 3481534420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532379264).

3481534420 is an abundant number, since it is smaller than the sum of its proper divisors (5583224108).

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

3481534420 is a wasteful number, since it uses less digits than its factorization.

3481534420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14129 (or 14127 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 3481534420 is about 59004.5288092363. The cubic root of 3481534420 is about 1515.6196632228.

The spelling of 3481534420 in words is "three billion, four hundred eighty-one million, five hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 137 140 182 260 274 364 455 548 685 910 959 1370 1781 1820 1918 2740 3562 3836 4795 7124 8905 9590 12467 13963 17810 19180 24934 27926 35620 49868 55852 62335 69815 97741 124670 139630 181519 195482 249340 279260 363038 390964 488705 726076 907595 977410 1270633 1815190 1912931 1954820 2541266 3630380 3825862 5082532 6353165 7651724 9564655 12706330 13390517 19129310 24868103 25412660 26781034 38258620 49736206 53562068 66952585 99472412 124340515 133905170 174076721 248681030 267810340 348153442 497362060 696306884 870383605 1740767210 3481534420