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34157970 = 23357113153
BaseRepresentation
bin1000001001001…
…1010110010010
32101021101221000
42002103112102
532221023340
63220042430
7563223630
oct202232622
971241830
1034157970
1118310430
12b533416
1370cc722
144772350
152eead30
hex2093592

34157970 has 256 divisors, whose sum is σ = 119439360. Its totient is φ = 6739200.

The previous prime is 34157957. The next prime is 34157971. The reversal of 34157970 is 7975143.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34157971) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 644464 + ... + 644516.

It is an arithmetic number, because the mean of its divisors is an integer number (466560).

Almost surely, 234157970 is an apocalyptic number.

34157970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34157970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59719680).

34157970 is an abundant number, since it is smaller than the sum of its proper divisors (85281390).

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

34157970 is a wasteful number, since it uses less digits than its factorization.

34157970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 34157970 is about 5844.4820129760. The cubic root of 34157970 is about 324.4621320275.

It can be divided in two parts, 341 and 57970, that added together give a triangular number (58311 = T341).

The spelling of 34157970 in words is "thirty-four million, one hundred fifty-seven thousand, nine hundred seventy".