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3430421000 = 235310693209
BaseRepresentation
bin1100110001111000…
…0001001000001000
322212001221102221122
43030132001020020
524011141433000
61324221454412
7151003045256
oct31436011010
98761842848
103430421000
111500424086
127b8a11408
13428917616
142478495d6
15151266085
hexcc781208

3430421000 has 64 divisors (see below), whose sum is σ = 8037198000. Its totient is φ = 1370457600.

The previous prime is 3430420999. The next prime is 3430421017. The reversal of 3430421000 is 1240343.

It can be written as a sum of positive squares in 8 ways, for example, as 129458884 + 3300962116 = 11378^2 + 57454^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3430421000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1067396 + ... + 1070604.

Almost surely, 23430421000 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 3430421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4018599000).

3430421000 is an abundant number, since it is smaller than the sum of its proper divisors (4606777000).

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

3430421000 is a wasteful number, since it uses less digits than its factorization.

3430421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4299 (or 4285 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3430421000 is about 58569.7959702781. The cubic root of 3430421000 is about 1508.1659823351.

Adding to 3430421000 its reverse (1240343), we get a palindrome (3431661343).

The spelling of 3430421000 in words is "three billion, four hundred thirty million, four hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1069 2138 3209 4276 5345 6418 8552 10690 12836 16045 21380 25672 26725 32090 42760 53450 64180 80225 106900 128360 133625 160450 213800 267250 320900 401125 534500 641800 802250 1069000 1604500 3209000 3430421 6860842 13721684 17152105 27443368 34304210 68608420 85760525 137216840 171521050 343042100 428802625 686084200 857605250 1715210500 3430421000