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3405625300 = 22527111726017
BaseRepresentation
bin1100101011111101…
…1011011111010100
322210100021200122101
43022333123133110
523433320002200
61321534211444
7150252223510
oct31277333724
98710250571
103405625300
111498428770
127b0653b84
134237453cc
14244433140
1514deb926a
hexcafdb7d4

3405625300 has 144 divisors (see below), whose sum is σ = 9756125568. Its totient is φ = 999014400.

The previous prime is 3405625277. The next prime is 3405625313. The reversal of 3405625300 is 35265043.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 117892 + ... + 143908.

It is an arithmetic number, because the mean of its divisors is an integer number (67750872).

Almost surely, 23405625300 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 3405625300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878062784).

3405625300 is an abundant number, since it is smaller than the sum of its proper divisors (6350500268).

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

3405625300 is a wasteful number, since it uses less digits than its factorization.

3405625300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26066 (or 26059 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 3405625300 is about 58357.7355626484. The cubic root of 3405625300 is about 1504.5234268426.

The spelling of 3405625300 in words is "three billion, four hundred five million, six hundred twenty-five thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 25 28 34 35 44 50 55 68 70 77 85 100 110 119 140 154 170 175 187 220 238 275 308 340 350 374 385 425 476 550 595 700 748 770 850 935 1100 1190 1309 1540 1700 1870 1925 2380 2618 2975 3740 3850 4675 5236 5950 6545 7700 9350 11900 13090 18700 26017 26180 32725 52034 65450 104068 130085 130900 182119 260170 286187 364238 442289 520340 572374 650425 728476 884578 910595 1144748 1300850 1430935 1769156 1821190 2003309 2211445 2601700 2861870 3096023 3642380 4006618 4422890 4552975 4865179 5723740 6192046 7154675 8013236 8845780 9105950 9730358 10016545 11057225 12384092 14309350 15480115 18211900 19460716 20033090 22114450 24325895 28618700 30960230 34056253 40066180 44228900 48651790 50082725 61920460 68112506 77400575 97303580 100165450 121629475 136225012 154801150 170281265 200330900 243258950 309602300 340562530 486517900 681125060 851406325 1702812650 3405625300