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3146074152 = 2331364115731
BaseRepresentation
bin1011101110000101…
…0100100000101000
322010020220010101220
42323201110200220
522420343333102
61240103142040
7140651121564
oct27341244050
98106803356
103146074152
111374971091
12739744920
133b1a3a550
1421bb8c6a4
151362ea1bc
hexbb854828

3146074152 has 64 divisors (see below), whose sum is σ = 8483952960. Its totient is φ = 966451200.

The previous prime is 3146074097. The next prime is 3146074157. The reversal of 3146074152 is 2514706413.

It is not an unprimeable number, because it can be changed into a prime (3146074157) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 192127 + ... + 207857.

It is an arithmetic number, because the mean of its divisors is an integer number (132561765).

Almost surely, 23146074152 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 3146074152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241976480).

3146074152 is an abundant number, since it is smaller than the sum of its proper divisors (5337878808).

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

3146074152 is a wasteful number, since it uses less digits than its factorization.

3146074152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16394 (or 16390 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 3146074152 is about 56089.8756639734. The cubic root of 3146074152 is about 1465.2879726817.

The spelling of 3146074152 in words is "three billion, one hundred forty-six million, seventy-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 641 1282 1923 2564 3846 5128 7692 8333 15384 15731 16666 24999 31462 33332 47193 49998 62924 66664 94386 99996 125848 188772 199992 204503 377544 409006 613509 818012 1227018 1636024 2454036 4908072 10083571 20167142 30250713 40334284 60501426 80668568 121002852 131086423 242005704 262172846 393259269 524345692 786518538 1048691384 1573037076 3146074152