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78234420 = 2235111131049
BaseRepresentation
bin1001010100111…
…00001100110100
312110012201110010
410222130030310
5130012000140
611432500220
71636660455
oct452341464
9173181403
1078234420
1140185750
122224a670
1313292874
14a56712c
156d05880
hex4a9c334

78234420 has 96 divisors (see below), whose sum is σ = 241315200. Its totient is φ = 18780160.

The previous prime is 78234397. The next prime is 78234427. The reversal of 78234420 is 2443287.

It is a super-2 number, since 2×782344202 = 12241248945472800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78234427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74056 + ... + 75104.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 278234420 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 78234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120657600).

78234420 is an abundant number, since it is smaller than the sum of its proper divisors (163080780).

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

78234420 is a wasteful number, since it uses less digits than its factorization.

78234420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 78234420 is about 8845.0223289713. The cubic root of 78234420 is about 427.6934728389.

The spelling of 78234420 in words is "seventy-eight million, two hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 113 132 165 220 226 330 339 452 565 660 678 1049 1130 1243 1356 1695 2098 2260 2486 3147 3390 3729 4196 4972 5245 6215 6294 6780 7458 10490 11539 12430 12588 14916 15735 18645 20980 23078 24860 31470 34617 37290 46156 57695 62940 69234 74580 115390 118537 138468 173085 230780 237074 346170 355611 474148 592685 692340 711222 1185370 1303907 1422444 1778055 2370740 2607814 3556110 3911721 5215628 6519535 7112220 7823442 13039070 15646884 19558605 26078140 39117210 78234420