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34204222052 = 22731113174337
BaseRepresentation
bin11111110110101110…
…110000001001100100
310021021202021111210222
4133312232300021210
51030022240101202
623414015103512
72320420043000
oct376656601144
9107252244728
1034204222052
1113562434310
126766b11b98
1332c13bb760
14192695d700
15d52c8e4a2
hex7f6bb0264

34204222052 has 96 divisors (see below), whose sum is σ = 82008595200. Its totient is φ = 12301148160.

The previous prime is 34204222049. The next prime is 34204222061. The reversal of 34204222052 is 25022240243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109028 + ... + 283364.

It is an arithmetic number, because the mean of its divisors is an integer number (854256200).

Almost surely, 234204222052 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 34204222052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41004297600).

34204222052 is an abundant number, since it is smaller than the sum of its proper divisors (47804373148).

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

34204222052 is a wasteful number, since it uses less digits than its factorization.

34204222052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174386 (or 174370 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

Adding to 34204222052 its reverse (25022240243), we get a palindrome (59226462295).

The spelling of 34204222052 in words is "thirty-four billion, two hundred four million, two hundred twenty-two thousand, fifty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 343 364 539 572 637 686 1001 1078 1274 1372 2002 2156 2548 3773 4004 4459 7007 7546 8918 14014 15092 17836 28028 49049 98098 174337 196196 348674 697348 1220359 1917707 2266381 2440718 3835414 4532762 4881436 7670828 8542513 9065524 13423949 15864667 17085026 24930191 26847898 31729334 34170052 49860382 53695796 59797591 63458668 93967643 99720764 111052669 119595182 174511337 187935286 222105338 239190364 349022674 375870572 444210676 657773501 698045348 777368683 1221579359 1315547002 1554737366 2443158718 2631094004 3109474732 4886317436 8551055513 17102111026 34204222052