Search a number
-
+
34050244440 = 2335299784553
BaseRepresentation
bin11111101101100011…
…010111111101011000
310020220000112122020110
4133231203113331120
51024213330310230
623350434524320
72313540205452
oct375543277530
9106800478213
1034050244440
1113493525693
1267234366a0
133298529244
14191031b2d2
15d444c64b0
hex7ed8d7f58

34050244440 has 64 divisors (see below), whose sum is σ = 105673183200. Its totient is φ = 8766958592.

The previous prime is 34050244429. The next prime is 34050244457. The reversal of 34050244440 is 4444205043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34050244398 and 34050244407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4888797 + ... + 4895756.

Almost surely, 234050244440 is an apocalyptic number.

34050244440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34050244440 is an abundant number, since it is smaller than the sum of its proper divisors (71622938760).

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

34050244440 is a wasteful number, since it uses less digits than its factorization.

34050244440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9784596 (or 9784592 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 34050244440 its reverse (4444205043), we get a palindrome (38494449483).

The spelling of 34050244440 in words is "thirty-four billion, fifty million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 9784553 19569106 29353659 39138212 48922765 58707318 78276424 97845530 117414636 146768295 195691060 234829272 283752037 293536590 391382120 567504074 587073180 851256111 1135008148 1174146360 1418760185 1702512222 2270016296 2837520370 3405024444 4256280555 5675040740 6810048888 8512561110 11350081480 17025122220 34050244440