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740804480 = 27513269331
BaseRepresentation
bin101100001001111…
…100011110000000
31220121221202200222
4230021330132000
53004121220410
6201302002212
724233506553
oct5411743600
91817852628
10740804480
1135018a409
12188116368
13ba628160
147055a69a
1545082955
hex2c27c780

740804480 has 128 divisors (see below), whose sum is σ = 1920088800. Its totient is φ = 271687680.

The previous prime is 740804443. The next prime is 740804497. The reversal of 740804480 is 84408047.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 740804480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2237915 + ... + 2238245.

Almost surely, 2740804480 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 740804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960044400).

740804480 is an abundant number, since it is smaller than the sum of its proper divisors (1179284320).

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

740804480 is a wasteful number, since it uses less digits than its factorization.

740804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 740804480 is about 27217.7236373654. The cubic root of 740804480 is about 904.8318236992.

The spelling of 740804480 in words is "seven hundred forty million, eight hundred four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 269 320 331 416 520 538 640 662 832 1040 1076 1324 1345 1655 1664 2080 2152 2648 2690 3310 3497 4160 4303 4304 5296 5380 6620 6994 8320 8606 8608 10592 10760 13240 13988 17212 17216 17485 21184 21515 21520 26480 27976 34424 34432 34970 42368 43030 43040 52960 55952 68848 69940 86060 86080 89039 105920 111904 137696 139880 172120 172160 178078 211840 223808 275392 279760 344240 356156 445195 447616 550784 559520 688480 712312 890390 1119040 1157507 1376960 1424624 1780780 2238080 2315014 2753920 2849248 3561560 4630028 5698496 5787535 7123120 9260056 11396992 11575070 14246240 18520112 23150140 28492480 37040224 46300280 56984960 74080448 92600560 148160896 185201120 370402240 740804480