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332002005342 = 237179721412239
BaseRepresentation
bin1001101010011001101…
…11001001000101011110
31011201221210100100011020
410311030313021011132
520414420003132332
6412304123105010
732662214324430
oct4651467110536
91151853310136
10332002005342
1111888a5275a7
1254416972166
13253ccbc0a47
14120d7408650
158981e4482c
hex4d4cdc915e

332002005342 has 128 divisors (see below), whose sum is σ = 812526059520. Its totient is φ = 88276746240.

The previous prime is 332002005233. The next prime is 332002005371. The reversal of 332002005342 is 243500200233.

It is a super-2 number, since 2×3320020053422 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 148280259 + ... + 148282497.

It is an arithmetic number, because the mean of its divisors is an integer number (6347859840).

Almost surely, 2332002005342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332002005342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406263029760).

332002005342 is an abundant number, since it is smaller than the sum of its proper divisors (480524054178).

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

332002005342 is a wasteful number, since it uses less digits than its factorization.

332002005342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4506.

The product of its (nonzero) digits is 4320, while the sum is 24.

Adding to 332002005342 its reverse (243500200233), we get a palindrome (575502205575).

The spelling of 332002005342 in words is "three hundred thirty-two billion, two million, five thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 97 102 119 194 238 291 357 582 679 714 1358 1649 2037 2141 2239 3298 4074 4282 4478 4947 6423 6717 9894 11543 12846 13434 14987 15673 23086 29974 31346 34629 36397 38063 44961 47019 69258 72794 76126 89922 94038 109191 114189 207677 217183 218382 228378 254779 266441 415354 434366 509558 532882 623031 651549 764337 799323 1246062 1303098 1453739 1520281 1528674 1598646 2907478 3040562 3530509 3692111 4361217 4560843 4793699 7061018 7384222 8722434 9121686 9587398 10591527 11076333 14381097 21183054 22152666 24713563 25844777 28762194 33555893 49427126 51689554 67111786 74140689 77534331 81492883 100667679 148281378 155068662 162985766 201335358 244478649 464988803 488957298 570450181 929977606 1140900362 1394966409 1711350543 2789932818 3254921621 3422701086 6509843242 7904809651 9764764863 15809619302 19529529726 23714428953 47428857906 55333667557 110667335114 166001002671 332002005342