Search a number
-
+
3428580012 = 22311213672711
BaseRepresentation
bin1100110001011011…
…1111101010101100
322211221110220120220
43030112333222230
524010204030022
61324114211340
7150651310044
oct31426775254
98757426526
103428580012
1114aa386a00
127b8283b50
13428421690
142474ca724
1515100085c
hexcc5bfaac

3428580012 has 144 divisors (see below), whose sum is σ = 9614712576. Its totient is φ = 944380800.

The previous prime is 3428580007. The next prime is 3428580041. The reversal of 3428580012 is 2100858243.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1263337 + ... + 1266047.

Almost surely, 23428580012 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 3428580012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4807356288).

3428580012 is an abundant number, since it is smaller than the sum of its proper divisors (6186132564).

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

3428580012 is a wasteful number, since it uses less digits than its factorization.

3428580012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 3428580012 is about 58554.0776718411. The cubic root of 3428580012 is about 1507.8961405955.

The spelling of 3428580012 in words is "three billion, four hundred twenty-eight million, five hundred eighty thousand, twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 67 78 121 132 134 143 156 201 242 268 286 363 402 429 484 572 726 737 804 858 871 1452 1474 1573 1716 1742 2211 2613 2711 2948 3146 3484 4422 4719 5226 5422 6292 8107 8133 8844 9438 9581 10452 10844 16214 16266 18876 19162 24321 28743 29821 32428 32532 35243 38324 48642 57486 59642 70486 89463 97284 105391 105729 114972 119284 140972 178926 181637 210782 211458 316173 328031 357852 363274 387673 421564 422916 544911 632346 656062 726548 775346 984093 1089822 1163019 1264692 1312124 1550692 1968186 1998007 2179644 2326038 2361281 3936372 3996014 4264403 4652076 4722562 5994021 7083843 7992028 8528806 9445124 11988042 12793209 14167686 17057612 21978077 23976084 25586418 25974091 28335372 43956154 51172836 51948182 65934231 77922273 87912308 103896364 131868462 155844546 263736924 285715001 311689092 571430002 857145003 1142860004 1714290006 3428580012