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741742164 = 2233172913931
BaseRepresentation
bin101100001101100…
…001011001010100
31220200201101222000
4230031201121110
53004341222124
6201334035300
724244463412
oct5415413124
91820641860
10741742164
1135076a959
121884a8b30
13ba895bb7
14707222b2
15451ba6c9
hex2c361654

741742164 has 96 divisors (see below), whose sum is σ = 2106518400. Its totient is φ = 224663040.

The previous prime is 741742091. The next prime is 741742189. The reversal of 741742164 is 461247147.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 46279 + ... + 60209.

It is an arithmetic number, because the mean of its divisors is an integer number (21942900).

Almost surely, 2741742164 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 741742164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053259200).

741742164 is an abundant number, since it is smaller than the sum of its proper divisors (1364776236).

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

741742164 is a wasteful number, since it uses less digits than its factorization.

741742164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13990 (or 13982 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 741742164 is about 27234.9438038708. The cubic root of 741742164 is about 905.2134307316.

The spelling of 741742164 in words is "seven hundred forty-one million, seven hundred forty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 29 34 36 51 54 58 68 87 102 108 116 153 174 204 261 306 348 459 493 522 612 783 918 986 1044 1479 1566 1836 1972 2958 3132 4437 5916 8874 13311 13931 17748 26622 27862 41793 53244 55724 83586 125379 167172 236827 250758 376137 403999 473654 501516 710481 752274 807998 947308 1211997 1420962 1504548 1615996 2131443 2423994 2841924 3635991 4262886 4847988 6394329 6867983 7271982 8525772 10907973 12788658 13735966 14543964 20603949 21815946 25577316 27471932 41207898 43631892 61811847 82415796 123623694 185435541 247247388 370871082 741742164