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741346480 = 2457327017
BaseRepresentation
bin101100001100000…
…000110010110000
31220122222022012001
4230030000302300
53004241041410
6201321343344
724241225000
oct5414006260
91818868161
10741346480
1135051a646
12188337b54
13ba787a74
147065c000
154513d33a
hex2c300cb0

741346480 has 80 divisors (see below), whose sum is σ = 2010139200. Its totient is φ = 254166528.

The previous prime is 741346477. The next prime is 741346483. The reversal of 741346480 is 84643147.

It is an interprime number because it is at equal distance from previous prime (741346477) and next prime (741346483).

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

It is not an unprimeable number, because it can be changed into a prime (741346483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13932 + ... + 40948.

It is an arithmetic number, because the mean of its divisors is an integer number (25126740).

Almost surely, 2741346480 is an apocalyptic number.

741346480 is a gapful number since it is divisible by the number (70) 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 741346480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005069600).

741346480 is an abundant number, since it is smaller than the sum of its proper divisors (1268792720).

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

741346480 is a wasteful number, since it uses less digits than its factorization.

741346480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27051 (or 27031 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 741346480 is about 27227.6785642845. The cubic root of 741346480 is about 905.0524393980.

The spelling of 741346480 in words is "seven hundred forty-one million, three hundred forty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 343 392 490 560 686 784 980 1372 1715 1960 2744 3430 3920 5488 6860 13720 27017 27440 54034 108068 135085 189119 216136 270170 378238 432272 540340 756476 945595 1080680 1323833 1512952 1891190 2161360 2647666 3025904 3782380 5295332 6619165 7564760 9266831 10590664 13238330 15129520 18533662 21181328 26476660 37067324 46334155 52953320 74134648 92668310 105906640 148269296 185336620 370673240 741346480