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337070740 = 225372811621
BaseRepresentation
bin10100000101110…
…100101010010100
3212111020222010111
4110011310222110
51142242230430
653240332404
711232024346
oct2405645224
9774228114
10337070740
111632a4266
1294a74104
1354aaa256
1432aa3296
151e8d2c2a
hex14174a94

337070740 has 48 divisors (see below), whose sum is σ = 730016784. Its totient is φ = 130636800.

The previous prime is 337070737. The next prime is 337070749. The reversal of 337070740 is 47070733.

It can be written as a sum of positive squares in 8 ways, for example, as 48274704 + 288796036 = 6948^2 + 16994^2 .

It is a super-2 number, since 2×3370707402 = 227233367528295200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (337070749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207130 + ... + 208750.

It is an arithmetic number, because the mean of its divisors is an integer number (15208683).

Almost surely, 2337070740 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 337070740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365008392).

337070740 is an abundant number, since it is smaller than the sum of its proper divisors (392946044).

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

337070740 is a wasteful number, since it uses less digits than its factorization.

337070740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 31.

The square root of 337070740 is about 18359.4863762579. The cubic root of 337070740 is about 695.9430222657.

The spelling of 337070740 in words is "three hundred thirty-seven million, seventy thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 281 370 562 740 1124 1405 1621 2810 3242 5620 6484 8105 10397 16210 20794 32420 41588 51985 59977 103970 119954 207940 239908 299885 455501 599770 911002 1199540 1822004 2277505 4555010 9110020 16853537 33707074 67414148 84267685 168535370 337070740