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3409705520 = 245139373499
BaseRepresentation
bin1100101100111011…
…1111101000110000
322210121221222122122
43023032333220300
523440341034040
61322201453412
7150332006264
oct31316775060
98717858578
103409705520
11149a765251
127b1aa1268
13424543640
14244bb60a4
1514e5231b5
hexcb3bfa30

3409705520 has 80 divisors (see below), whose sum is σ = 8548932000. Its totient is φ = 1257265152.

The previous prime is 3409705517. The next prime is 3409705567. The reversal of 3409705520 is 255079043.

It is a tau number, because it is divible by the number of its divisors (80).

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, 972731 + ... + 976229.

It is an arithmetic number, because the mean of its divisors is an integer number (106861650).

Almost surely, 23409705520 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 3409705520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274466000).

3409705520 is an abundant number, since it is smaller than the sum of its proper divisors (5139226480).

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

3409705520 is a wasteful number, since it uses less digits than its factorization.

3409705520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4462 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 3409705520 is about 58392.6837882966. The cubic root of 3409705520 is about 1505.1240347658.

The spelling of 3409705520 in words is "three billion, four hundred nine million, seven hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 937 1040 1874 3499 3748 4685 6998 7496 9370 12181 13996 14992 17495 18740 24362 27992 34990 37480 45487 48724 55984 60905 69980 74960 90974 97448 121810 139960 181948 194896 227435 243620 279920 363896 454870 487240 727792 909740 974480 1819480 3278563 3638960 6557126 13114252 16392815 26228504 32785630 42621319 52457008 65571260 85242638 131142520 170485276 213106595 262285040 340970552 426213190 681941104 852426380 1704852760 3409705520