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234105480 = 23325792899
BaseRepresentation
bin11011111010000…
…10101010001000
3121022111210100100
431331002222020
5434412333410
635121405400
75541602160
oct1575025210
9538453310
10234105480
11110167a04
1266499860
1339668b6b
142313d5a0
15158448c0
hexdf42a88

234105480 has 96 divisors (see below), whose sum is σ = 869544000. Its totient is φ = 53509248.

The previous prime is 234105467. The next prime is 234105493. The reversal of 234105480 is 84501432.

It is an interprime number because it is at equal distance from previous prime (234105467) and next prime (234105493).

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 23 ways as a sum of consecutive naturals, for example, 43930 + ... + 48969.

It is an arithmetic number, because the mean of its divisors is an integer number (9057750).

Almost surely, 2234105480 is an apocalyptic number.

234105480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234105480 is an abundant number, since it is smaller than the sum of its proper divisors (635438520).

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

234105480 is a wasteful number, since it uses less digits than its factorization.

234105480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92923 (or 92916 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 234105480 is about 15300.5058739899. The cubic root of 234105480 is about 616.3165924743.

The spelling of 234105480 in words is "two hundred thirty-four million, one hundred five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 92899 185798 278697 371596 464495 557394 650293 743192 836091 928990 1114788 1300586 1393485 1672182 1857980 1950879 2229576 2601172 2786970 3251465 3344364 3715960 3901758 4180455 5202344 5573940 5852637 6502930 6688728 7803516 8360910 9754395 11147880 11705274 13005860 15607032 16721820 19508790 23410548 26011720 29263185 33443640 39017580 46821096 58526370 78035160 117052740 234105480