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37141434 = 23211217053
BaseRepresentation
bin1000110110101…
…1101110111010
32120212222110200
42031223232322
534002011214
63404023030
7630461031
oct215535672
976788420
1037141434
1119a68a00
1210531a76
1379056a5
144d0b718
1533d9d09
hex236bbba

37141434 has 36 divisors (see below), whose sum is σ = 88459098. Its totient is φ = 11254320.

The previous prime is 37141427. The next prime is 37141439. The reversal of 37141434 is 43414173.

37141434 = T124 + T125 + ... + T607.

It can be written as a sum of positive squares in only one way, i.e., 33350625 + 3790809 = 5775^2 + 1947^2 .

It is a super-2 number, since 2×371414342 = 2758972239152712, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 37141398 and 37141407.

It is not an unprimeable number, because it can be changed into a prime (37141439) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6349 + ... + 10704.

Almost surely, 237141434 is an apocalyptic number.

37141434 is an abundant number, since it is smaller than the sum of its proper divisors (51317664).

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

37141434 is a wasteful number, since it uses less digits than its factorization.

37141434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17083 (or 17069 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 37141434 is about 6094.3772446412. The cubic root of 37141434 is about 333.6462304166.

The spelling of 37141434 in words is "thirty-seven million, one hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 17053 34106 51159 102318 153477 187583 306954 375166 562749 1125498 1688247 2063413 3376494 4126826 6190239 12380478 18570717 37141434