Search a number
-
+
744058662340 = 225721096965537
BaseRepresentation
bin10101101001111010101…
…10100010110111000100
32122010112201122100021211
422310331112202313010
544142313004143330
61325452115221204
7104520316164100
oct12647526426704
92563481570254
10744058662340
1126760a798834
121002538a7804
135521a340046
1428026936900
151454c050d2a
hexad3d5a2dc4

744058662340 has 72 divisors (see below), whose sum is σ = 1834304776920. Its totient is φ = 252765370368.

The previous prime is 744058662331. The next prime is 744058662341. The reversal of 744058662340 is 43266850447.

It can be written as a sum of positive squares in 4 ways, for example, as 15985556356 + 728073105984 = 126434^2 + 853272^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (744058662341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3375949 + ... + 3589588.

It is an arithmetic number, because the mean of its divisors is an integer number (25476455235).

Almost surely, 2744058662340 is an apocalyptic number.

744058662340 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

744058662340 is an abundant number, since it is smaller than the sum of its proper divisors (1090246114580).

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

744058662340 is a wasteful number, since it uses less digits than its factorization.

744058662340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6965669 (or 6965660 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 49.

The spelling of 744058662340 in words is "seven hundred forty-four billion, fifty-eight million, six hundred sixty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 109 140 196 218 245 436 490 545 763 980 1090 1526 2180 3052 3815 5341 7630 10682 15260 21364 26705 53410 106820 6965537 13931074 27862148 34827685 48758759 69655370 97517518 139310740 195035036 243793795 341311313 487587590 682622626 759243533 975175180 1365245252 1518487066 1706556565 3036974132 3413113130 3796217665 5314704731 6826226260 7592435330 10629409462 15184870660 21258818924 26573523655 37202933117 53147047310 74405866234 106294094620 148811732468 186014665585 372029331170 744058662340