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97784340 = 223517372591
BaseRepresentation
bin1011101010000…
…01001000010100
320210222221220020
411311001020110
5200013044330
613411505140
72265103353
oct565011024
9223887806
1097784340
1150218905
12288b81b0
1317349174
14cdb599a
1588b8210
hex5d41214

97784340 has 96 divisors (see below), whose sum is σ = 297851904. Its totient is φ = 23869440.

The previous prime is 97784333. The next prime is 97784353. The reversal of 97784340 is 4348779.

It is a junction number, because it is equal to n+sod(n) for n = 97784292 and 97784301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36445 + ... + 39035.

It is an arithmetic number, because the mean of its divisors is an integer number (3102624).

Almost surely, 297784340 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 97784340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148925952).

97784340 is an abundant number, since it is smaller than the sum of its proper divisors (200067564).

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

97784340 is a wasteful number, since it uses less digits than its factorization.

97784340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 97784340 is about 9888.5964625927. The cubic root of 97784340 is about 460.7051880731.

The spelling of 97784340 in words is "ninety-seven million, seven hundred eighty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 37 51 60 68 74 85 102 111 148 170 185 204 222 255 340 370 444 510 555 629 740 1020 1110 1258 1887 2220 2516 2591 3145 3774 5182 6290 7548 7773 9435 10364 12580 12955 15546 18870 25910 31092 37740 38865 44047 51820 77730 88094 95867 132141 155460 176188 191734 220235 264282 287601 383468 440470 479335 528564 575202 660705 880940 958670 1150404 1321410 1438005 1629739 1917340 2642820 2876010 3259478 4889217 5752020 6518956 8148695 9778434 16297390 19556868 24446085 32594780 48892170 97784340