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3422041000 = 235371393517
BaseRepresentation
bin1100101111111000…
…0011001110101000
322211111011200202021
43023332003032220
524002020303000
61323322114224
7150541603630
oct31376031650
98744150667
103422041000
1114a6720064
127b604b974
13426c72241
142466a76c0
1515065d11a
hexcbf833a8

3422041000 has 128 divisors (see below), whose sum is σ = 9219974400. Its totient is φ = 1164499200.

The previous prime is 3422040971. The next prime is 3422041009. The reversal of 3422041000 is 1402243.

It is not an unprimeable number, because it can be changed into a prime (3422041009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 971242 + ... + 974758.

It is an arithmetic number, because the mean of its divisors is an integer number (72031050).

Almost surely, 23422041000 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 3422041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4609987200).

3422041000 is an abundant number, since it is smaller than the sum of its proper divisors (5797933400).

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

3422041000 is a wasteful number, since it uses less digits than its factorization.

3422041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684 (or 3670 counting only the distinct ones).

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

The square root of 3422041000 is about 58498.2136479397. The cubic root of 3422041000 is about 1506.9369071302.

Adding to 3422041000 its reverse (1402243), we get a palindrome (3423443243).

The spelling of 3422041000 in words is "three billion, four hundred twenty-two million, forty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 139 140 175 200 250 278 280 350 500 556 695 700 875 973 1000 1112 1390 1400 1750 1946 2780 3475 3500 3517 3892 4865 5560 6950 7000 7034 7784 9730 13900 14068 17375 17585 19460 24325 24619 27800 28136 34750 35170 38920 48650 49238 69500 70340 87925 97300 98476 121625 123095 139000 140680 175850 194600 196952 243250 246190 351700 439625 486500 488863 492380 615475 703400 879250 973000 977726 984760 1230950 1758500 1955452 2444315 2461900 3077375 3422041 3517000 3910904 4888630 4923800 6154750 6844082 9777260 12221575 12309500 13688164 17110205 19554520 24443150 24619000 27376328 34220410 48886300 61107875 68440820 85551025 97772600 122215750 136881640 171102050 244431500 342204100 427755125 488863000 684408200 855510250 1711020500 3422041000