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1434619000 = 235313910321
BaseRepresentation
bin101010110000010…
…1000110001111000
310200222111012022001
41111200220301320
510414230302000
6354204510344
750360026453
oct12540506170
93628435261
101434619000
11676894541
1234054b3b4
1319b2acca9
14d876449a
1585e3246a
hex55828c78

1434619000 has 64 divisors (see below), whose sum is σ = 3381487200. Its totient is φ = 569664000.

The previous prime is 1434618989. The next prime is 1434619003. The reversal of 1434619000 is 9164341.

It is a super-2 number, since 2×14346190002 = 4116263350322000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1434619000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434619003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133840 + ... + 144160.

Almost surely, 21434619000 is an apocalyptic number.

1434619000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434619000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690743600).

1434619000 is an abundant number, since it is smaller than the sum of its proper divisors (1946868200).

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

1434619000 is a wasteful number, since it uses less digits than its factorization.

1434619000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10481 (or 10467 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 1434619000 is about 37876.3646618838. The cubic root of 1434619000 is about 1127.8348914987.

The spelling of 1434619000 in words is "one billion, four hundred thirty-four million, six hundred nineteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 139 200 250 278 500 556 695 1000 1112 1390 2780 3475 5560 6950 10321 13900 17375 20642 27800 34750 41284 51605 69500 82568 103210 139000 206420 258025 412840 516050 1032100 1290125 1434619 2064200 2580250 2869238 5160500 5738476 7173095 10321000 11476952 14346190 28692380 35865475 57384760 71730950 143461900 179327375 286923800 358654750 717309500 1434619000