Search a number
-
+
3397141152 = 253211795629
BaseRepresentation
bin1100101001111100…
…0100001010100000
322202202022122120200
43022133010022200
523424132004102
61321032305200
7150120136416
oct31237041240
98682278520
103397141152
111493663479
127a9842200
13421a647c2
142432652b6
1514d39051c
hexca7c42a0

3397141152 has 36 divisors (see below), whose sum is σ = 9660620970. Its totient is φ = 1132380288.

The previous prime is 3397141123. The next prime is 3397141249. The reversal of 3397141152 is 2511417933.

It can be written as a sum of positive squares in only one way, i.e., 2555909136 + 841232016 = 50556^2 + 29004^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33971411522 = 23081136013223774208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5897527 + ... + 5898102.

Almost surely, 23397141152 is an apocalyptic number.

3397141152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3397141152 is an abundant number, since it is smaller than the sum of its proper divisors (6263479818).

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

3397141152 is a wasteful number, since it uses less digits than its factorization.

3397141152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11795645 (or 11795634 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 3397141152 is about 58284.9993737668. Note that the first 3 decimals coincide. The cubic root of 3397141152 is about 1503.2730236828.

The spelling of 3397141152 in words is "three billion, three hundred ninety-seven million, one hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11795629 23591258 35386887 47182516 70773774 94365032 106160661 141547548 188730064 212321322 283095096 377460128 424642644 566190192 849285288 1132380384 1698570576 3397141152