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3320442774 = 23311192391231
BaseRepresentation
bin1100010111101001…
…1110111110010110
322120101222222012000
43011322132332112
523300013132044
61305252340130
7145166204115
oct30572367626
98511888160
103320442774
111454337890
12788014646
1340bbbc14c
14236dbbc7c
1514678ed69
hexc5e9ef96

3320442774 has 128 divisors (see below), whose sum is σ = 8515584000. Its totient is φ = 948477600.

The previous prime is 3320442773. The next prime is 3320442779. The reversal of 3320442774 is 4772440233.

It is a super-2 number, since 2×33204427742 = 22050680430817630152, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320442773) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2696739 + ... + 2697969.

It is an arithmetic number, because the mean of its divisors is an integer number (66528000).

Almost surely, 23320442774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3320442774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257792000).

3320442774 is an abundant number, since it is smaller than the sum of its proper divisors (5195141226).

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

3320442774 is a wasteful number, since it uses less digits than its factorization.

3320442774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The square root of 3320442774 is about 57623.2832629311. The cubic root of 3320442774 is about 1491.8735008483.

The spelling of 3320442774 in words is "three billion, three hundred twenty million, four hundred forty-two thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 239 297 342 418 478 513 594 627 717 1026 1231 1254 1434 1881 2151 2462 2629 3693 3762 4302 4541 5258 5643 6453 7386 7887 9082 11079 11286 12906 13541 13623 15774 22158 23389 23661 27082 27246 33237 40623 40869 46778 47322 49951 66474 70167 70983 81246 81738 99902 121869 122607 140334 141966 149853 210501 243738 245214 257279 294209 299706 365607 421002 449559 514558 588418 631503 731214 771837 882627 899118 1263006 1348677 1543674 1765254 2315511 2647881 2697354 3236299 4631022 5295762 5589971 6472598 6946533 7943643 9708897 11179942 13893066 15887286 16769913 19417794 29126691 33539826 50309739 58253382 61489681 87380073 100619478 122979362 150929217 174760146 184469043 301858434 368938086 553407129 1106814258 1660221387 3320442774