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34004423040 = 273572530091
BaseRepresentation
bin11111101010110100…
…100101000110000000
310020202211022200002120
4133222310211012000
51024120113014130
623342120444240
72312442553410
oct375264450600
9106684280076
1034004423040
111346a679365
126710019680
13328bba4aa3
1419081d0640
15d40474910
hex7ead25180

34004423040 has 128 divisors (see below), whose sum is σ = 123873304320. Its totient is φ = 7772436480.

The previous prime is 34004422999. The next prime is 34004423053. The reversal of 34004423040 is 4032440043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34004423040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1251606 + ... + 1278485.

It is an arithmetic number, because the mean of its divisors is an integer number (967760190).

Almost surely, 234004423040 is an apocalyptic number.

34004423040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34004423040 is an abundant number, since it is smaller than the sum of its proper divisors (89868881280).

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

34004423040 is a wasteful number, since it uses less digits than its factorization.

34004423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530120 (or 2530108 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 34004423040 its reverse (4032440043), we get a palindrome (38036863083).

The spelling of 34004423040 in words is "thirty-four billion, four million, four hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 2530091 5060182 7590273 10120364 12650455 15180546 17710637 20240728 25300910 30361092 35421274 37951365 40481456 50601820 53131911 60722184 70842548 75902730 80962912 88553185 101203640 106263822 121444368 141685096 151805460 161925824 177106370 202407280 212527644 242888736 265659555 283370192 303610920 323851648 354212740 404814560 425055288 485777472 531319110 566740384 607221840 708425480 809629120 850110576 971554944 1062638220 1133480768 1214443680 1416850960 1619258240 1700221152 2125276440 2266961536 2428887360 2833701920 3400442304 4250552880 4857774720 5667403840 6800884608 8501105760 11334807680 17002211520 34004423040