Search a number
-
+
3073431372 = 22311157148303
BaseRepresentation
bin1011011100110000…
…1101011101001100
321221012012111020120
42313030031131030
522243244300442
61224550144540
7136106510214
oct26714153514
97835174216
103073431372
111337965530
12719352150
1339c984b5b
1421227d244
1512ec4b4ec
hexb730d74c

3073431372 has 48 divisors (see below), whose sum is σ = 7873162752. Its totient is φ = 925404480.

The previous prime is 3073431371. The next prime is 3073431391. The reversal of 3073431372 is 2731343703.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3073431371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53428 + ... + 94875.

It is an arithmetic number, because the mean of its divisors is an integer number (164024224).

Almost surely, 23073431372 is an apocalyptic number.

It is an amenable number.

3073431372 is an abundant number, since it is smaller than the sum of its proper divisors (4799731380).

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

3073431372 is a wasteful number, since it uses less digits than its factorization.

3073431372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148478 (or 148476 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 33.

The square root of 3073431372 is about 55438.5368854554. The cubic root of 3073431372 is about 1453.9222183347.

The spelling of 3073431372 in words is "three billion, seventy-three million, four hundred thirty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 157 314 471 628 942 1727 1884 3454 5181 6908 10362 20724 148303 296606 444909 593212 889818 1631333 1779636 3262666 4893999 6525332 9787998 19575996 23283571 46567142 69850713 93134284 139701426 256119281 279402852 512238562 768357843 1024477124 1536715686 3073431372