Search a number
-
+
303039990 = 232511378273
BaseRepresentation
bin10010000100000…
…000010111110110
3210010020000201100
4102010000113312
51110034234430
650023110530
710336540341
oct2204002766
9703200640
10303039990
11146070480
12855a2446
134aa23706
142c365458
151b90e960
hex121005f6

303039990 has 96 divisors (see below), whose sum is σ = 882868896. Its totient is φ = 71470080.

The previous prime is 303039967. The next prime is 303040021. The reversal of 303039990 is 99930303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32494 + ... + 40766.

It is an arithmetic number, because the mean of its divisors is an integer number (9196551).

Almost surely, 2303039990 is an apocalyptic number.

303039990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 303039990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441434448).

303039990 is an abundant number, since it is smaller than the sum of its proper divisors (579828906).

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

303039990 is a wasteful number, since it uses less digits than its factorization.

303039990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8334 (or 8331 counting only the distinct ones).

The product of its (nonzero) digits is 19683, while the sum is 36.

The square root of 303039990 is about 17408.0438303676. The cubic root of 303039990 is about 671.6865433294.

The spelling of 303039990 in words is "three hundred three million, thirty-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 990 1110 1221 1665 2035 2442 3330 3663 4070 6105 7326 8273 12210 16546 18315 24819 36630 41365 49638 74457 82730 91003 124095 148914 182006 248190 273009 306101 372285 455015 546018 612202 744570 819027 910030 918303 1365045 1530505 1638054 1836606 2730090 2754909 3061010 3367111 4095135 4591515 5509818 6734222 8190270 9183030 10101333 13774545 16835555 20202666 27549090 30303999 33671110 50506665 60607998 101013330 151519995 303039990