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3404479890 = 235737835279
BaseRepresentation
bin1100101011101100…
…0011110110010010
322210021010111102210
43022323003312102
523433021324030
61321453452550
7150236413230
oct31273036622
98707114383
103404479890
111497816149
127b01a1156
13423433c56
14244215950
1514dd3ebb0
hexcaec3d92

3404479890 has 128 divisors (see below), whose sum is σ = 9707765760. Its totient is φ = 747871488.

The previous prime is 3404479889. The next prime is 3404479901. The reversal of 3404479890 is 989744043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 642271 + ... + 647549.

It is an arithmetic number, because the mean of its divisors is an integer number (75841920).

Almost surely, 23404479890 is an apocalyptic number.

3404479890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3404479890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853882880).

3404479890 is an abundant number, since it is smaller than the sum of its proper divisors (6303285870).

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

3404479890 is a wasteful number, since it uses less digits than its factorization.

3404479890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5416.

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 3404479890 is about 58347.9210426558. The cubic root of 3404479890 is about 1504.3547363907.

The spelling of 3404479890 in words is "three billion, four hundred four million, four hundred seventy-nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 83 105 111 166 185 210 222 249 259 370 415 498 518 555 581 777 830 1110 1162 1245 1295 1554 1743 2490 2590 2905 3071 3486 3885 5279 5810 6142 7770 8715 9213 10558 15355 15837 17430 18426 21497 26395 30710 31674 36953 42994 46065 52790 64491 73906 79185 92130 107485 110859 128982 158370 184765 195323 214970 221718 322455 369530 390646 438157 554295 585969 644910 876314 976615 1108590 1171938 1314471 1367261 1953230 2190785 2628942 2734522 2929845 3067099 4101783 4381570 5859690 6134198 6572355 6836305 8203566 9201297 13144710 13672610 15335495 16211809 18402594 20508915 30670990 32423618 41017830 46006485 48635427 81059045 92012970 97270854 113482663 162118090 226965326 243177135 340447989 486354270 567413315 680895978 1134826630 1702239945 3404479890