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34799640 = 23351915263
BaseRepresentation
bin1000010011000…
…0000000011000
32102111000010120
42010300000120
532402042030
63241513240
7601535451
oct204600030
972430116
1034799640
1118709537
12b7a2820
137295805
14489c128
1530c6010
hex2130018

34799640 has 64 divisors (see below), whose sum is σ = 109900800. Its totient is φ = 8790912.

The previous prime is 34799563. The next prime is 34799657. The reversal of 34799640 is 4699743.

It is a super-2 number, since 2×347996402 = 2422029888259200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34799592 and 34799601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5352 + ... + 9911.

It is an arithmetic number, because the mean of its divisors is an integer number (1717200).

Almost surely, 234799640 is an apocalyptic number.

34799640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34799640 is an abundant number, since it is smaller than the sum of its proper divisors (75101160).

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

34799640 is a wasteful number, since it uses less digits than its factorization.

34799640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15296 (or 15292 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 34799640 is about 5899.1219685645. The cubic root of 34799640 is about 326.4812544007.

The spelling of 34799640 in words is "thirty-four million, seven hundred ninety-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 15263 30526 45789 61052 76315 91578 122104 152630 183156 228945 289997 305260 366312 457890 579994 610520 869991 915780 1159988 1449985 1739982 1831560 2319976 2899970 3479964 4349955 5799940 6959928 8699910 11599880 17399820 34799640