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997628310 = 2325715110487
BaseRepresentation
bin111011011101101…
…001100110010110
32120112012202202200
4323131221212112
54020343101220
6242554345330
733502462230
oct7335514626
92515182680
10997628310
11472153a08
1223a12b246
1312b8b9813
14966d1250
155c8b3890
hex3b769996

997628310 has 96 divisors (see below), whose sum is σ = 2984297472. Its totient is φ = 226497600.

The previous prime is 997628309. The next prime is 997628321. The reversal of 997628310 is 13826799.

997628310 is a `hidden beast` number, since 9 + 9 + 7 + 628 + 3 + 10 = 666.

It is a super-2 number, since 2×9976283102 = 1990524489826912200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89887 + ... + 100373.

It is an arithmetic number, because the mean of its divisors is an integer number (31086432).

Almost surely, 2997628310 is an apocalyptic number.

997628310 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 997628310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492148736).

997628310 is an abundant number, since it is smaller than the sum of its proper divisors (1986669162).

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

997628310 is a wasteful number, since it uses less digits than its factorization.

997628310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10658 (or 10655 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 997628310 is about 31585.2546293361. The cubic root of 997628310 is about 999.2088108515.

The spelling of 997628310 in words is "nine hundred ninety-seven million, six hundred twenty-eight thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 151 210 302 315 453 630 755 906 1057 1359 1510 2114 2265 2718 3171 4530 5285 6342 6795 9513 10487 10570 13590 15855 19026 20974 31461 31710 47565 52435 62922 73409 94383 95130 104870 146818 157305 188766 220227 314610 367045 440454 471915 660681 734090 943830 1101135 1321362 1583537 2202270 3167074 3303405 4750611 6606810 7917685 9501222 11084759 14251833 15835370 22169518 23753055 28503666 33254277 47506110 55423795 66508554 71259165 99762831 110847590 142518330 166271385 199525662 332542770 498814155 997628310