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3499310804 = 221131723412
BaseRepresentation
bin1101000010010011…
…0011111011010100
3100000212120101222212
43100210303323110
524131310421204
61335122212552
7152500436213
oct32044637324
910025511885
103499310804
1115362a7000
12817ab4158
13439c87a12
14252a5d07a
15157322c6e
hexd0933ed4

3499310804 has 144 divisors (see below), whose sum is σ = 7627955328. Its totient is φ = 1397017600.

The previous prime is 3499310777. The next prime is 3499310813. The reversal of 3499310804 is 4080139943.

3499310804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34993108042 = 24490352205982252832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85349024 + ... + 85349064.

It is an arithmetic number, because the mean of its divisors is an integer number (52971912).

Almost surely, 23499310804 is an apocalyptic number.

3499310804 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3499310804 is an abundant number, since it is smaller than the sum of its proper divisors (4128644524).

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

3499310804 is a wasteful number, since it uses less digits than its factorization.

3499310804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 3499310804 is about 59154.9727749071. The cubic root of 3499310804 is about 1518.1948220162.

The spelling of 3499310804 in words is "three billion, four hundred ninety-nine million, three hundred ten thousand, eight hundred four".

Divisors: 1 2 4 11 17 22 23 34 41 44 46 68 82 92 121 164 187 242 253 374 391 451 484 506 697 748 782 902 943 1012 1331 1394 1564 1681 1804 1886 2057 2662 2783 2788 3362 3772 4114 4301 4961 5324 5566 6724 7667 8228 8602 9922 10373 11132 15334 16031 17204 18491 19844 20746 22627 28577 30613 30668 32062 36982 38663 41492 45254 47311 54571 57154 61226 64124 73964 77326 84337 90508 94622 109142 114103 114308 122452 154652 168674 176341 189244 203401 218284 228206 314347 337348 352682 406802 425293 456412 520421 628694 657271 705364 813604 850586 927707 1040842 1255133 1257388 1314542 1701172 1855414 1939751 2081684 2237411 2510266 2629084 3457817 3710828 3879502 4474822 4678223 5020532 6915634 7229981 7759004 8949644 9356446 13831268 14459962 18712892 21337261 28919924 38035987 42674522 51460453 76071974 79529791 85349044 102920906 152143948 159059582 205841812 318119164 874827701 1749655402 3499310804