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3420406834 = 2131753146009
BaseRepresentation
bin1100101111011111…
…0100010000110010
322211101002200002121
43023313310100302
524001111004314
61323223104454
7150521656405
oct31367642062
98741080077
103420406834
1114a5804309
127b55a212a
1342681c490
1424639dd3c
15150438d24
hexcbdf4432

3420406834 has 32 divisors (see below), whose sum is σ = 5960712240. Its totient is φ = 1457743872.

The previous prime is 3420406813. The next prime is 3420406841. The reversal of 3420406834 is 4386040243.

It can be written as a sum of positive squares in 8 ways, for example, as 1804125625 + 1616281209 = 42475^2 + 40203^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 3420406834.

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, 49579 + ... + 96430.

Almost surely, 23420406834 is an apocalyptic number.

3420406834 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3420406834 is a deficient number, since it is larger than the sum of its proper divisors (2540305406).

3420406834 is a wasteful number, since it uses less digits than its factorization.

3420406834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146094.

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 3420406834 is about 58484.2443227234. The cubic root of 3420406834 is about 1506.6969940533.

The spelling of 3420406834 in words is "three billion, four hundred twenty million, four hundred six thousand, eight hundred thirty-four".

Divisors: 1 2 13 17 26 34 53 106 221 442 689 901 1378 1802 11713 23426 146009 292018 1898117 2482153 3796234 4964306 7738477 15476954 32267989 64535978 100600201 131554109 201200402 263108218 1710203417 3420406834