Search a number
-
+
623033940 = 2235192771973
BaseRepresentation
bin100101001000101…
…011111001010100
31121102100101220010
4211020223321110
52233444041230
6141453440220
721303462324
oct4510537124
91542311803
10623033940
1129a760691
121547a0070
139c101c49
145ca61284
1539a6c9b0
hex2522be54

623033940 has 96 divisors (see below), whose sum is σ = 1843873920. Its totient is φ = 156750336.

The previous prime is 623033899. The next prime is 623033963. The reversal of 623033940 is 49330326.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 623033898 and 623033907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314794 + ... + 316766.

It is an arithmetic number, because the mean of its divisors is an integer number (19207020).

Almost surely, 2623033940 is an apocalyptic number.

623033940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 623033940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921936960).

623033940 is an abundant number, since it is smaller than the sum of its proper divisors (1220839980).

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

623033940 is a wasteful number, since it uses less digits than its factorization.

623033940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 623033940 is about 24960.6478281314. The cubic root of 623033940 is about 854.0905208927.

The spelling of 623033940 in words is "six hundred twenty-three million, thirty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 277 285 380 554 570 831 1108 1140 1385 1662 1973 2770 3324 3946 4155 5263 5540 5919 7892 8310 9865 10526 11838 15789 16620 19730 21052 23676 26315 29595 31578 37487 39460 52630 59190 63156 74974 78945 105260 112461 118380 149948 157890 187435 224922 315780 374870 449844 546521 562305 749740 1093042 1124610 1639563 2186084 2249220 2732605 3279126 5465210 6558252 8197815 10383899 10930420 16395630 20767798 31151697 32791260 41535596 51919495 62303394 103838990 124606788 155758485 207677980 311516970 623033940