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3459704420 = 2252415031427
BaseRepresentation
bin1100111000110110…
…1110011001100100
322221010001012020202
43032031232121210
524041141020140
61331145250032
7151510000544
oct31615563144
98833035222
103459704420
111515a05157
12806793918
134319cb3a3
1424b6ad324
15153aec915
hexce36e664

3459704420 has 48 divisors (see below), whose sum is σ = 7315152768. Its totient is φ = 1374435840.

The previous prime is 3459704419. The next prime is 3459704441. The reversal of 3459704420 is 244079543.

It is a super-3 number, since 3×34597044203 (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2423747 + ... + 2425173.

It is an arithmetic number, because the mean of its divisors is an integer number (152399016).

Almost surely, 23459704420 is an apocalyptic number.

It is an amenable number.

3459704420 is an abundant number, since it is smaller than the sum of its proper divisors (3855448348).

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

3459704420 is a wasteful number, since it uses less digits than its factorization.

3459704420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 3459704420 is about 58819.2521203730. The cubic root of 3459704420 is about 1512.4452610474.

The spelling of 3459704420 in words is "three billion, four hundred fifty-nine million, seven hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 241 482 503 964 1006 1205 1427 2012 2410 2515 2854 4820 5030 5708 7135 10060 14270 28540 121223 242446 343907 484892 606115 687814 717781 1212230 1375628 1435562 1719535 2424460 2871124 3439070 3588905 6878140 7177810 14355620 172985221 345970442 691940884 864926105 1729852210 3459704420