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3422346004 = 22721110971447
BaseRepresentation
bin1100101111111100…
…1101101100010100
322211111202012010201
43023333031230110
524002110033004
61323332430244
7150544314100
oct31377155424
98744665121
103422346004
1114a6909230
127b6178384
1342704b00c
14246746900
151506bd6a4
hexcbfcdb14

3422346004 has 72 divisors (see below), whose sum is σ = 7612460352. Its totient is φ = 1331245440.

The previous prime is 3422345981. The next prime is 3422346023. The reversal of 3422346004 is 4006432243.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2364409 + ... + 2365855.

It is an arithmetic number, because the mean of its divisors is an integer number (105728616).

Almost surely, 23422346004 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 3422346004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806230176).

3422346004 is an abundant number, since it is smaller than the sum of its proper divisors (4190114348).

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

3422346004 is a wasteful number, since it uses less digits than its factorization.

3422346004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 3422346004 is about 58500.8205412539. The cubic root of 3422346004 is about 1506.9816765266.

Adding to 3422346004 its reverse (4006432243), we get a palindrome (7428778247).

The spelling of 3422346004 in words is "three billion, four hundred twenty-two million, three hundred forty-six thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 1078 1097 1447 2156 2194 2894 4388 5788 7679 10129 12067 15358 15917 20258 24134 30716 31834 40516 48268 53753 63668 70903 84469 107506 111419 141806 168938 215012 222838 283612 337876 445676 591283 779933 1182566 1559866 1587359 2365132 3119732 3174718 6349436 11111513 17460949 22223026 34921898 44446052 69843796 77780591 122226643 155561182 244453286 311122364 488906572 855586501 1711173002 3422346004