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34048368484 = 221324721512
BaseRepresentation
bin11111101101011100…
…001101111101100100
310020212220000022220121
4133231130031331210
51024212340242414
623350330411324
72313515233264
oct375534157544
9106786008817
1034048368484
1113492464209
126722890b44
133298020400
14190dd8d7a4
15d44255724
hex7ed70df64

34048368484 has 81 divisors (see below), whose sum is σ = 66362103801. Its totient is φ = 15278421600.

The previous prime is 34048368463. The next prime is 34048368493. The reversal of 34048368484 is 48486384043.

It is a happy number.

The square root of 34048368484 is 184522.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5036740900 + 29011627584 = 70970^2 + 170328^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 225485809 + ... + 225485959.

Almost surely, 234048368484 is an apocalyptic number.

34048368484 is the 184522-nd square number.

It is an amenable number.

34048368484 is a deficient number, since it is larger than the sum of its proper divisors (32313735317).

34048368484 is a wasteful number, since it uses less digits than its factorization.

34048368484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 52.

The spelling of 34048368484 in words is "thirty-four billion, forty-eight million, three hundred sixty-eight thousand, four hundred eighty-four".

Divisors: 1 2 4 13 26 47 52 94 151 169 188 302 338 604 611 676 1222 1963 2209 2444 3926 4418 7097 7852 7943 8836 14194 15886 22801 25519 28388 28717 31772 45602 51038 57434 91204 92261 102076 114868 184522 296413 333559 369044 373321 592826 667118 746642 1071647 1185652 1199393 1334236 1493284 2143294 2398786 3853369 4286588 4336267 4797572 7706738 8672534 13931411 15413476 17345068 27862822 50367409 55725644 56371471 100734818 112742942 181108343 201469636 225485884 362216686 654776317 724433372 1309552634 2619105268 8512092121 17024184242 34048368484