Search a number
-
+
332002044 = 223311172967
BaseRepresentation
bin10011110010011…
…111001011111100
3212010201110012000
4103302133023330
51134443031134
652535542300
711140653663
oct2362371374
9763643160
10332002044
11160452060
129322a990
1353a2411a
1432143dda
151e230e99
hex13c9f2fc

332002044 has 144 divisors (see below), whose sum is σ = 998511360. Its totient is φ = 94590720.

The previous prime is 332002043. The next prime is 332002057. The reversal of 332002044 is 440200233.

It is a super-2 number, since 2×3320020442 = 220450714440355872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332002043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342849 + ... + 343815.

Almost surely, 2332002044 is an apocalyptic number.

332002044 is a gapful number since it is divisible by the number (34) 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 332002044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499255680).

332002044 is an abundant number, since it is smaller than the sum of its proper divisors (666509316).

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

332002044 is a wasteful number, since it uses less digits than its factorization.

332002044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 332002044 is about 18220.9232477391. The cubic root of 332002044 is about 692.4369782822.

Adding to 332002044 its reverse (440200233), we get a palindrome (772202277).

The spelling of 332002044 in words is "three hundred thirty-two million, two thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 289 297 306 374 396 459 561 578 594 612 748 867 918 967 1122 1156 1188 1683 1734 1836 1934 2244 2601 2901 3179 3366 3468 3868 5049 5202 5802 6358 6732 7803 8703 9537 10098 10404 10637 11604 12716 15606 16439 17406 19074 20196 21274 26109 28611 31212 31911 32878 34812 38148 42548 49317 52218 57222 63822 65756 85833 95733 98634 104436 114444 127644 147951 171666 180829 191466 197268 279463 287199 295902 343332 361658 382932 443853 542487 558926 574398 591804 723316 838389 887706 1084974 1117852 1148796 1627461 1676778 1775412 2169948 2515167 3074093 3254922 3353556 4882383 5030334 6148186 6509844 7545501 9222279 9764766 10060668 12296372 15091002 18444558 19529532 27666837 30182004 36889116 55333674 83000511 110667348 166001022 332002044