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4614620340 = 22351118138629
BaseRepresentation
bin1000100110000110…
…11000010010110100
3102220121020000001110
410103003120102310
533422320322330
62041523155020
7222232424421
oct42303302264
912817200043
104614620340
111a58918620
12a89515a70
13587068ba5
1431ac24d48
151c01cedb0
hex1130d84b4

4614620340 has 96 divisors (see below), whose sum is σ = 14173810560. Its totient is φ = 1112486400.

The previous prime is 4614620333. The next prime is 4614620359. The reversal of 4614620340 is 430264164.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4614620298 and 4614620307.

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, 100146 + ... + 138774.

It is an arithmetic number, because the mean of its divisors is an integer number (147643860).

Almost surely, 24614620340 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 4614620340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7086905280).

4614620340 is an abundant number, since it is smaller than the sum of its proper divisors (9559190220).

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

4614620340 is a wasteful number, since it uses less digits than its factorization.

4614620340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38833 (or 38831 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 4614620340 is about 67930.9969012674. The cubic root of 4614620340 is about 1664.8636019892.

The spelling of 4614620340 in words is "four billion, six hundred fourteen million, six hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 181 220 330 362 543 660 724 905 1086 1810 1991 2172 2715 3620 3982 5430 5973 7964 9955 10860 11946 19910 23892 29865 38629 39820 59730 77258 115887 119460 154516 193145 231774 386290 424919 463548 579435 772580 849838 1158870 1274757 1699676 2124595 2317740 2549514 4249190 5099028 6373785 6991849 8498380 12747570 13983698 20975547 25495140 27967396 34959245 41951094 69918490 76910339 83902188 104877735 139836980 153820678 209755470 230731017 307641356 384551695 419510940 461462034 769103390 922924068 1153655085 1538206780 2307310170 4614620340