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34077148 = 2272372127
BaseRepresentation
bin1000000111111…
…1100111011100
32101010022001121
42001333213130
532210432043
63214220324
7562436200
oct201774734
971108047
1034077148
1118265736
12b4b46a4
1370a19c1
144750b00
152ed1ded
hex207f9dc

34077148 has 54 divisors (see below), whose sum is σ = 71858304. Its totient is φ = 14097888.

The previous prime is 34077137. The next prime is 34077149. The reversal of 34077148 is 84177043.

It is a super-2 number, since 2×340771482 = 2322504031627808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34077149) 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, 268261 + ... + 268387.

Almost surely, 234077148 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 34077148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35929152).

34077148 is an abundant number, since it is smaller than the sum of its proper divisors (37781156).

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

34077148 is a wasteful number, since it uses less digits than its factorization.

34077148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 34077148 is about 5837.5635328448. The cubic root of 34077148 is about 324.2060240240.

It can be divided in two parts, 34077 and 148, that added together give a square (34225 = 1852).

The spelling of 34077148 in words is "thirty-four million, seventy-seven thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 37 49 74 98 127 148 196 254 259 508 518 889 1036 1369 1778 1813 2738 3556 3626 4699 5476 6223 7252 9398 9583 12446 18796 19166 24892 32893 38332 65786 67081 131572 134162 173863 230251 268324 347726 460502 695452 921004 1217041 2434082 4868164 8519287 17038574 34077148