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383677420 = 225717374357
BaseRepresentation
bin10110110111100…
…111001111101100
3222201221211110211
4112313213033230
51241210134140
6102023312204
712336130030
oct2667471754
9881854424
10383677420
11187637585
12a85ab664
1361647c79
1438d561c0
1523a3c2ea
hex16de73ec

383677420 has 96 divisors (see below), whose sum is σ = 1001572992. Its totient is φ = 120434688.

The previous prime is 383677417. The next prime is 383677439. The reversal of 383677420 is 24776383.

383677420 = T289 + T290 + ... + T1324.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85882 + ... + 90238.

It is an arithmetic number, because the mean of its divisors is an integer number (10433052).

Almost surely, 2383677420 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 383677420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500786496).

383677420 is an abundant number, since it is smaller than the sum of its proper divisors (617895572).

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

383677420 is a wasteful number, since it uses less digits than its factorization.

383677420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427 (or 4425 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The square root of 383677420 is about 19587.6854171186. The cubic root of 383677420 is about 726.6446499890.

The spelling of 383677420 in words is "three hundred eighty-three million, six hundred seventy-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 37 68 70 74 85 119 140 148 170 185 238 259 340 370 476 518 595 629 740 1036 1190 1258 1295 2380 2516 2590 3145 4357 4403 5180 6290 8714 8806 12580 17428 17612 21785 22015 30499 43570 44030 60998 74069 87140 88060 121996 148138 152495 161209 296276 304990 322418 370345 518483 609980 644836 740690 806045 1036966 1128463 1481380 1612090 2073932 2256926 2592415 2740553 3224180 4513852 5184830 5481106 5642315 10369660 10962212 11284630 13702765 19183871 22569260 27405530 38367742 54811060 76735484 95919355 191838710 383677420