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34697340 = 223251722329
BaseRepresentation
bin1000010001011…
…1000001111100
32102021210210200
42010113001330
532340303330
63235403500
7600631266
oct204270174
972253720
1034697340
1118649697
12b753590
13725b092
144872b36
1530a5a60
hex211707c

34697340 has 216 divisors, whose sum is σ = 120687840. Its totient is φ = 8042496.

The previous prime is 34697329. The next prime is 34697387. The reversal of 34697340 is 4379643.

34697340 = T135 + T136 + ... + T594.

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 = 34697295 and 34697304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1196446 + ... + 1196474.

It is an arithmetic number, because the mean of its divisors is an integer number (558740).

Almost surely, 234697340 is an apocalyptic number.

34697340 is a gapful number since it is divisible by the number (30) 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 34697340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60343920).

34697340 is an abundant number, since it is smaller than the sum of its proper divisors (85990500).

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

34697340 is a wasteful number, since it uses less digits than its factorization.

34697340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 34697340 is about 5890.4448049362. Note that the first 3 decimals coincide. The cubic root of 34697340 is about 326.1610229900.

The spelling of 34697340 in words is "thirty-four million, six hundred ninety-seven thousand, three hundred forty".