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1034242000 = 24531153887
BaseRepresentation
bin111101101001010…
…100011111010000
32200002002221022021
4331221110133100
54104231221000
6250343221224
734425624541
oct7551243720
92602087267
101034242000
11490891360
1224a447814
13136368c1c
149b5024c8
1560be711a
hex3da547d0

1034242000 has 160 divisors (see below), whose sum is σ = 2782750464. Its totient is φ = 368576000.

The previous prime is 1034241997. The next prime is 1034242037. The reversal of 1034242000 is 2424301.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 1165557 + ... + 1166443.

Almost surely, 21034242000 is an apocalyptic number.

1034242000 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 1034242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391375232).

1034242000 is an abundant number, since it is smaller than the sum of its proper divisors (1748508464).

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

1034242000 is a wasteful number, since it uses less digits than its factorization.

1034242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1034242000 is about 32159.6330824840. The cubic root of 1034242000 is about 1011.2861437605.

Adding to 1034242000 its reverse (2424301), we get a palindrome (1036666301).

The spelling of 1034242000 in words is "one billion, thirty-four million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 53 55 80 88 100 106 110 125 176 200 212 220 250 265 275 400 424 440 500 530 550 583 848 880 887 1000 1060 1100 1166 1325 1375 1774 2000 2120 2200 2332 2650 2750 2915 3548 4240 4400 4435 4664 5300 5500 5830 6625 7096 8870 9328 9757 10600 11000 11660 13250 14192 14575 17740 19514 21200 22000 22175 23320 26500 29150 35480 39028 44350 46640 47011 48785 53000 58300 70960 72875 78056 88700 94022 97570 106000 110875 116600 145750 156112 177400 188044 195140 221750 233200 235055 243925 291500 354800 376088 390280 443500 470110 487850 517121 583000 752176 780560 887000 940220 975700 1034242 1166000 1175275 1219625 1774000 1880440 1951400 2068484 2350550 2439250 2585605 3760880 3902800 4136968 4701100 4878500 5171210 5876375 8273936 9402200 9757000 10342420 11752750 12928025 18804400 19514000 20684840 23505500 25856050 41369680 47011000 51712100 64640125 94022000 103424200 129280250 206848400 258560500 517121000 1034242000