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934268040 = 233353972179
BaseRepresentation
bin110111101011111…
…100110010001000
32102002222201211000
4313223330302020
53403133034130
6232412335000
732103101346
oct6753746210
92362881730
10934268040
1143a408452
12220a74460
1311b734234
148c11a996
155704a260
hex37afcc88

934268040 has 128 divisors (see below), whose sum is σ = 3123504000. Its totient is φ = 248396544.

The previous prime is 934268029. The next prime is 934268051. The reversal of 934268040 is 40862439.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (934268029) and next prime (934268051).

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

It is a junction number, because it is equal to n+sod(n) for n = 934267986 and 934268004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427671 + ... + 429849.

It is an arithmetic number, because the mean of its divisors is an integer number (24402375).

Almost surely, 2934268040 is an apocalyptic number.

934268040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 934268040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561752000).

934268040 is an abundant number, since it is smaller than the sum of its proper divisors (2189235960).

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

934268040 is a wasteful number, since it uses less digits than its factorization.

934268040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 934268040 is about 30565.7985336552. The cubic root of 934268040 is about 977.5909313350.

The spelling of 934268040 in words is "nine hundred thirty-four million, two hundred sixty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 397 540 794 1080 1191 1588 1985 2179 2382 3176 3573 3970 4358 4764 5955 6537 7146 7940 8716 9528 10719 10895 11910 13074 14292 15880 17432 17865 19611 21438 21790 23820 26148 28584 32685 35730 39222 42876 43580 47640 52296 53595 58833 65370 71460 78444 85752 87160 98055 107190 117666 130740 142920 156888 196110 214380 235332 261480 294165 392220 428760 470664 588330 784440 865063 1176660 1730126 2353320 2595189 3460252 4325315 5190378 6920504 7785567 8650630 10380756 12975945 15571134 17301260 20761512 23356701 25951890 31142268 34602520 38927835 46713402 51903780 62284536 77855670 93426804 103807560 116783505 155711340 186853608 233567010 311422680 467134020 934268040