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312419070 = 232510931847
BaseRepresentation
bin10010100111110…
…010001011111110
3210202212112101200
4102213302023332
51114434402240
651000120330
710512342525
oct2247621376
9722775350
10312419070
11150397087
12887660a6
134c958772
142d6c74bc
151c663930
hex129f22fe

312419070 has 48 divisors (see below), whose sum is σ = 819767520. Its totient is φ = 82544832.

The previous prime is 312419069. The next prime is 312419077. The reversal of 312419070 is 70914213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312419077) 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 23 ways as a sum of consecutive naturals, for example, 6114 + ... + 25733.

It is an arithmetic number, because the mean of its divisors is an integer number (17078490).

Almost surely, 2312419070 is an apocalyptic number.

312419070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312419070 is an abundant number, since it is smaller than the sum of its proper divisors (507348450).

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

312419070 is a wasteful number, since it uses less digits than its factorization.

312419070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31969 (or 31966 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 312419070 is about 17675.3803353704. The cubic root of 312419070 is about 678.5458183396.

The spelling of 312419070 in words is "three hundred twelve million, four hundred nineteen thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1635 1962 3270 4905 9810 31847 63694 95541 159235 191082 286623 318470 477705 573246 955410 1433115 2866230 3471323 6942646 10413969 17356615 20827938 31241907 34713230 52069845 62483814 104139690 156209535 312419070