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1213214304 = 253232918947
BaseRepresentation
bin100100001010000…
…0010111001100000
310010112212200011010
41020110002321200
54441040324204
6320215220520
742031102641
oct11024027140
93115780133
101213214304
11572911955
1229a377740
131644700b3
14b71ad6c8
157179ad89
hex48502e60

1213214304 has 96 divisors (see below), whose sum is σ = 3437925120. Its totient is φ = 373463552.

The previous prime is 1213214263. The next prime is 1213214339. The reversal of 1213214304 is 4034123121.

It is a tau number, because it is divible by the number of its divisors (96).

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, 54559 + ... + 73505.

It is an arithmetic number, because the mean of its divisors is an integer number (35811720).

Almost surely, 21213214304 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 1213214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718962560).

1213214304 is an abundant number, since it is smaller than the sum of its proper divisors (2224710816).

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

1213214304 is a wasteful number, since it uses less digits than its factorization.

1213214304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19012 (or 19004 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1213214304 is about 34831.2259904816. The cubic root of 1213214304 is about 1066.5449753534.

Adding to 1213214304 its reverse (4034123121), we get a palindrome (5247337425).

The spelling of 1213214304 in words is "one billion, two hundred thirteen million, two hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 69 87 92 96 116 138 174 184 232 276 348 368 464 552 667 696 736 928 1104 1334 1392 2001 2208 2668 2784 4002 5336 8004 10672 16008 18947 21344 32016 37894 56841 64032 75788 113682 151576 227364 303152 435781 454728 549463 606304 871562 909456 1098926 1307343 1648389 1743124 1818912 2197852 2614686 3296778 3486248 4395704 5229372 6593556 6972496 8791408 10458744 12637649 13187112 13944992 17582816 20917488 25275298 26374224 37912947 41834976 50550596 52748448 75825894 101101192 151651788 202202384 303303576 404404768 606607152 1213214304