Search a number
-
+
332604090 = 233571313537
BaseRepresentation
bin10011110100110…
…010001010111010
3212011212001001000
4103310302022322
51140121312330
653000505430
711146042140
oct2364621272
9764761030
10332604090
11160823415
129347b276
1353ba5170
143225d590
151e2ee560
hex13d322ba

332604090 has 128 divisors (see below), whose sum is σ = 1091704320. Its totient is φ = 70170624.

The previous prime is 332604071. The next prime is 332604109. The reversal of 332604090 is 90406233.

It is an interprime number because it is at equal distance from previous prime (332604071) and next prime (332604109).

It is a super-2 number, since 2×3326040902 = 221250961369456200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17802 + ... + 31338.

It is an arithmetic number, because the mean of its divisors is an integer number (8528940).

Almost surely, 2332604090 is an apocalyptic number.

332604090 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 332604090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545852160).

332604090 is an abundant number, since it is smaller than the sum of its proper divisors (759100230).

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

332604090 is a wasteful number, since it uses less digits than its factorization.

332604090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13573 (or 13567 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 332604090 is about 18237.4364974905. The cubic root of 332604090 is about 692.8552760883.

The spelling of 332604090 in words is "three hundred thirty-two million, six hundred four thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 546 585 630 702 819 910 945 1170 1365 1638 1755 1890 2457 2730 3510 4095 4914 8190 12285 13537 24570 27074 40611 67685 81222 94759 121833 135370 175981 189518 203055 243666 284277 351962 365499 406110 473795 527943 568554 609165 730998 852831 879905 947590 1055886 1218330 1231867 1421385 1583829 1705662 1759810 1827495 2463734 2558493 2639715 2842770 3167658 3654990 3695601 4264155 4751487 5116986 5279430 6159335 7391202 7919145 8528310 9502974 11086803 12318670 12792465 15838290 18478005 22173606 23757435 25584930 33260409 36956010 47514870 55434015 66520818 110868030 166302045 332604090