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328970740 = 225717277499
BaseRepresentation
bin10011100110111…
…011000111110100
3211221000110000111
4103212323013310
51133204030430
652350552404
711103130240
oct2346730764
9757013014
10328970740
1115977164a
1292208704
1353202457
1431995420
151dd32c2a
hex139bb1f4

328970740 has 96 divisors (see below), whose sum is σ = 840672000. Its totient is φ = 105560064.

The previous prime is 328970713. The next prime is 328970753. The reversal of 328970740 is 47079823.

It is a super-2 number, since 2×3289707402 = 216443495552295200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 328970693 and 328970702.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 659011 + ... + 659509.

It is an arithmetic number, because the mean of its divisors is an integer number (8757000).

Almost surely, 2328970740 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 328970740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420336000).

328970740 is an abundant number, since it is smaller than the sum of its proper divisors (511701260).

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

328970740 is a wasteful number, since it uses less digits than its factorization.

328970740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 328970740 is about 18137.5505512735. The cubic root of 328970740 is about 690.3231280781.

The spelling of 328970740 in words is "three hundred twenty-eight million, nine hundred seventy thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 277 340 476 499 554 595 998 1108 1190 1385 1939 1996 2380 2495 2770 3493 3878 4709 4990 5540 6986 7756 8483 9418 9695 9980 13972 16966 17465 18836 19390 23545 32963 33932 34930 38780 42415 47090 59381 65926 69860 84830 94180 118762 131852 138223 164815 169660 237524 276446 296905 329630 552892 593810 659260 691115 967561 1187620 1382230 1935122 2349791 2764460 3870244 4699582 4837805 9399164 9675610 11748955 16448537 19351220 23497910 32897074 46995820 65794148 82242685 164485370 328970740