Search a number
-
+
1430311372 = 22731079743
BaseRepresentation
bin101010101000000…
…1101000111001100
310200200101100100021
41111100031013030
510412124430442
6353532311524
750305306000
oct12520150714
93620340307
101430311372
11674412116
1233b0125a4
1319a4323b9
14d7d62700
1585880e67
hex5540d1cc

1430311372 has 48 divisors (see below), whose sum is σ = 2946585600. Its totient is φ = 607199376.

The previous prime is 1430311369. The next prime is 1430311381. The reversal of 1430311372 is 2731130341.

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 15 ways as a sum of consecutive naturals, for example, 141933 + ... + 151675.

It is an arithmetic number, because the mean of its divisors is an integer number (61387200).

Almost surely, 21430311372 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 1430311372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473292800).

1430311372 is an abundant number, since it is smaller than the sum of its proper divisors (1516274228).

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

1430311372 is a wasteful number, since it uses less digits than its factorization.

1430311372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9875 (or 9859 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 1430311372 is about 37819.4575846878. The cubic root of 1430311372 is about 1126.7049367080.

The spelling of 1430311372 in words is "one billion, four hundred thirty million, three hundred eleven thousand, three hundred seventy-two".

Divisors: 1 2 4 7 14 28 49 98 107 196 214 343 428 686 749 1372 1498 2996 5243 9743 10486 19486 20972 36701 38972 68201 73402 136402 146804 272804 477407 954814 1042501 1909628 2085002 3341849 4170004 6683698 7297507 13367396 14595014 29190028 51082549 102165098 204330196 357577843 715155686 1430311372