Search a number
-
+
3245177376 = 253271998089
BaseRepresentation
bin1100000101101101…
…0111101000100000
322101011101002110200
43001123113220200
523121231134001
61254003225200
7143263360350
oct30133275040
98334332420
103245177376
1114158aa881
12766978200
133c9428acc
1422adc8b60
1513ed74086
hexc16d7a20

3245177376 has 144 divisors (see below), whose sum is σ = 10601136000. Its totient is φ = 922420224.

The previous prime is 3245177359. The next prime is 3245177381. The reversal of 3245177376 is 6737715423.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397140 + ... + 405228.

It is an arithmetic number, because the mean of its divisors is an integer number (73619000).

Almost surely, 23245177376 is an apocalyptic number.

3245177376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3245177376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5300568000).

3245177376 is an abundant number, since it is smaller than the sum of its proper divisors (7355958624).

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

3245177376 is a wasteful number, since it uses less digits than its factorization.

3245177376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8311 (or 8300 counting only the distinct ones).

The product of its digits is 740880, while the sum is 45.

The square root of 3245177376 is about 56966.4583417295. The cubic root of 3245177376 is about 1480.5150046024.

The spelling of 3245177376 in words is "three billion, two hundred forty-five million, one hundred seventy-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 199 224 252 288 336 398 504 597 672 796 1008 1194 1393 1592 1791 2016 2388 2786 3184 3582 4179 4776 5572 6368 7164 8089 8358 9552 11144 12537 14328 16178 16716 19104 22288 24267 25074 28656 32356 33432 44576 48534 50148 56623 57312 64712 66864 72801 97068 100296 113246 129424 133728 145602 169869 194136 200592 226492 258848 291204 339738 388272 401184 452984 509607 582408 679476 776544 905968 1019214 1164816 1358952 1609711 1811936 2038428 2329632 2717904 3219422 4076856 4829133 5435808 6438844 8153712 9658266 11267977 12877688 14487399 16307424 19316532 22535954 25755376 28974798 33803931 38633064 45071908 51510752 57949596 67607862 77266128 90143816 101411793 115899192 135215724 154532256 180287632 202823586 231798384 270431448 360575264 405647172 463596768 540862896 811294344 1081725792 1622588688 3245177376