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99630342 = 232723311109
BaseRepresentation
bin1011111000000…
…11110100000110
320221110202010200
411330003310012
5201001132332
613515231330
72316562320
oct574036406
9227422120
1099630342
1151269829
1229448546
1317844486
14d336610
158b3017c
hex5f03d06

99630342 has 96 divisors (see below), whose sum is σ = 265973760. Its totient is φ = 26326080.

The previous prime is 99630331. The next prime is 99630361. The reversal of 99630342 is 24303699.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 99630297 and 99630306.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 89284 + ... + 90392.

It is an arithmetic number, because the mean of its divisors is an integer number (2770560).

Almost surely, 299630342 is an apocalyptic number.

It is a pronic number, being equal to 9981×9982.

It is a practical number, because each smaller number is the sum of distinct divisors of 99630342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132986880).

99630342 is an abundant number, since it is smaller than the sum of its proper divisors (166343418).

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

99630342 is a wasteful number, since it uses less digits than its factorization.

99630342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 99630342 is about 9981.4999874768. The cubic root of 99630342 is about 463.5862436961.

The spelling of 99630342 in words is "ninety-nine million, six hundred thirty thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 31 42 46 62 63 69 93 126 138 161 186 207 217 279 322 414 434 483 558 651 713 966 1109 1302 1426 1449 1953 2139 2218 2898 3327 3906 4278 4991 6417 6654 7763 9981 9982 12834 14973 15526 19962 23289 25507 29946 34379 44919 46578 51014 68758 69867 76521 89838 103137 139734 153042 178549 206274 229563 240653 309411 357098 459126 481306 535647 618822 721959 790717 1071294 1443918 1581434 1606941 2165877 2372151 3213882 4331754 4744302 5535019 7116453 11070038 14232906 16605057 33210114 49815171 99630342