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3346312631604 = 22323233106948677
BaseRepresentation
bin110000101100011111110…
…001101001010100110100
3102211220102021120202022020
4300230133301221110310
5414311222013202404
611041135205033140
7463522514025135
oct60543761512464
912756367522266
103346312631604
111080188273628
124606553b57b0
131b372c4ab227
14b7d68b55c8c
155c0a2bc8ed9
hex30b1fc69534

3346312631604 has 96 divisors (see below), whose sum is σ = 8190334414080. Its totient is φ = 1061345522688.

The previous prime is 3346312631603. The next prime is 3346312631609. The reversal of 3346312631604 is 4061362136433.

3346312631604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33463126316042 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3346312631603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68720914 + ... + 68769590.

It is an arithmetic number, because the mean of its divisors is an integer number (85315983480).

Almost surely, 23346312631604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3346312631604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095167207040).

3346312631604 is an abundant number, since it is smaller than the sum of its proper divisors (4844021782476).

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

3346312631604 is a wasteful number, since it uses less digits than its factorization.

3346312631604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50009 (or 50007 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 42.

The spelling of 3346312631604 in words is "three trillion, three hundred forty-six billion, three hundred twelve million, six hundred thirty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 233 276 466 699 932 1069 1398 2138 2796 3207 4276 5359 6414 10718 12828 16077 21436 24587 32154 48677 49174 64308 73761 97354 98348 146031 147522 194708 249077 292062 295044 498154 584124 747231 996308 1119571 1494462 2239142 2988924 3358713 4478284 5728771 6717426 11341741 11457542 13434852 17186313 22683482 22915084 34025223 34372626 45366964 52035713 68050446 68745252 104071426 136100892 156107139 208142852 260860043 312214278 521720086 624428556 782580129 1043440172 1196821399 1565160258 2393642798 3130320516 3590464197 4787285596 7180928394 12124321129 14361856788 24248642258 36372963387 48497284516 72745926774 145491853548 278859385967 557718771934 836578157901 1115437543868 1673156315802 3346312631604